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664968960 = 2833571271
BaseRepresentation
bin100111101000101…
…001111100000000
31201100020220221000
4213220221330000
52330213001320
6145552332000
722323100005
oct4750517400
91640226830
10664968960
113113a3027
12166844000
13a79c5476
14644598ac
153d5a2c90
hex27a29f00

664968960 has 288 divisors, whose sum is σ = 2401781760. Its totient is φ = 174182400.

The previous prime is 664968949. The next prime is 664969009. The reversal of 664968960 is 69869466.

It is a happy number.

664968960 is a `hidden beast` number, since 66 + 496 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 664968897 and 664968906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2453625 + ... + 2453895.

It is an arithmetic number, because the mean of its divisors is an integer number (8339520).

Almost surely, 2664968960 is an apocalyptic number.

664968960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200890880).

664968960 is an abundant number, since it is smaller than the sum of its proper divisors (1736812800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664968960 is a wasteful number, since it uses less digits than its factorization.

664968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 664968960 is about 25786.9920696463. The cubic root of 664968960 is about 872.8382926947.

The spelling of 664968960 in words is "six hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred sixty".