65856000 has 320 divisors, whose sum is σ = 255340800. Its totient is φ = 15052800.

The previous prime is 65855987. The next prime is 65856017. The reversal of 65856000 is 65856.

It is a tau number, because it is divible by the number of its divisors (320).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=280.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9407997 + ... + 9408003.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 2^65856000 is an apocalyptic number.

65856000 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 65856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

65856000 is an abundant number, since it is smaller than the sum of its proper divisors (189484800).

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

65856000 is an frugal number, since it uses more digits than its factorization.

65856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 65856000 is about 8115.1709778661. The cubic root of 65856000 is about 403.8298796861.

65856000 divided by its reverse (65856) gives a cube (1000 = 10³).

The spelling of 65856000 in words is "sixty-five million, eight hundred fifty-six thousand".