64856000 has 168 divisors, whose sum is σ = 179179728. Its totient is φ = 23232000.

The previous prime is 64855909. The next prime is 64856023. The reversal of 64856000 is 65846.

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, 967967 + ... + 968033.

It is an arithmetic number, because the mean of its divisors is an integer number (1066546).

Almost surely, 2^64856000 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 64856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89589864).

64856000 is an abundant number, since it is smaller than the sum of its proper divisors (114323728).

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

64856000 is a wasteful number, since it uses less digits than its factorization.

64856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 64856000 is about 8053.3222957982. The cubic root of 64856000 is about 401.7754411953.

The spelling of 64856000 in words is "sixty-four million, eight hundred fifty-six thousand".