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668304000 = 27335371317
BaseRepresentation
bin100111110101011…
…000001010000000
31201120112100202000
4213311120022000
52332041212000
6150152024000
722363330110
oct4765301200
91646470660
10668304000
11313270761
12167992000
13a85c2470
1464a87040
153da11000
hex27d58280

668304000 has 1024 divisors, whose sum is σ = 3207859200. Its totient is φ = 132710400.

The previous prime is 668303959. The next prime is 668304011. The reversal of 668304000 is 403866.

Adding to 668304000 its reverse (403866), we get a palindrome (668707866).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39311992 + ... + 39312008.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2668304000 is an apocalyptic number.

668304000 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 668304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

668304000 is an abundant number, since it is smaller than the sum of its proper divisors (2539555200).

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

668304000 is a wasteful number, since it uses less digits than its factorization.

668304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 668304000 is about 25851.5763542574. The cubic root of 668304000 is about 874.2950512542.

The spelling of 668304000 in words is "six hundred sixty-eight million, three hundred four thousand".