65856960 has 168 divisors, whose sum is σ = 244083840. Its totient is φ = 16201728.

The previous prime is 65856943. The next prime is 65856961. The reversal of 65856960 is 6965856.

65856960 is a `hidden beast` number, since 6 + 585 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65856961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36561 + ... + 38319.

It is an arithmetic number, because the mean of its divisors is an integer number (1452880).

Almost surely, 2^65856960 is an apocalyptic number.

65856960 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 65856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122041920).

65856960 is an abundant number, since it is smaller than the sum of its proper divisors (178226880).

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

65856960 is a wasteful number, since it uses less digits than its factorization.

65856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 65856960 is about 8115.2301261270. The cubic root of 65856960 is about 403.8318419209.

The spelling of 65856960 in words is "sixty-five million, eight hundred fifty-six thousand, nine hundred sixty".