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660801456 = 243372193153
BaseRepresentation
bin100111011000110…
…000011110110000
31201001102012012000
4213120300132300
52323131121311
6145323134000
722242501600
oct4730603660
91631365160
10660801456
1130a006a07
12165374300
13a6b965a3
1463a92c00
153d02d056
hex276307b0

660801456 has 480 divisors, whose sum is σ = 2442700800. Its totient is φ = 169827840.

The previous prime is 660801443. The next prime is 660801457. The reversal of 660801456 is 654108066.

660801456 is a `hidden beast` number, since 6 + 608 + 0 + 1 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 660801456.

It is not an unprimeable number, because it can be changed into a prime (660801457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12467926 + ... + 12467978.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2660801456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660801456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221350400).

660801456 is an abundant number, since it is smaller than the sum of its proper divisors (1781899344).

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

660801456 is a wasteful number, since it uses less digits than its factorization.

660801456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 660801456 is about 25706.0587410828. The cubic root of 660801456 is about 871.0110481247.

The spelling of 660801456 in words is "six hundred sixty million, eight hundred one thousand, four hundred fifty-six".