64896000 has 264 divisors, whose sum is σ = 233751024. Its totient is φ = 15974400.

The previous prime is 64895993. The next prime is 64896011. The reversal of 64896000 is 69846.

It is a super-2 number, since 2×64896000² = 8422981632000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4991994 + ... + 4992006.

Almost surely, 2^64896000 is an apocalyptic number.

64896000 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 64896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116875512).

64896000 is an abundant number, since it is smaller than the sum of its proper divisors (168855024).

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

64896000 is a wasteful number, since it uses less digits than its factorization.

64896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 64896000 is about 8055.8053601114. The cubic root of 64896000 is about 401.8580226827.

The spelling of 64896000 in words is "sixty-four million, eight hundred ninety-six thousand".