56064960 has 336 divisors, whose sum is σ = 230770176. Its totient is φ = 12690432.

The previous prime is 56064959. The next prime is 56064973. The reversal of 56064960 is 6946065.

It is a happy number.

56064960 is a `hidden beast` number, since 5 + 6 + 0 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544269 + ... + 544371.

It is an arithmetic number, because the mean of its divisors is an integer number (686816).

Almost surely, 2^56064960 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 56064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115385088).

56064960 is an abundant number, since it is smaller than the sum of its proper divisors (174705216).

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

56064960 is a wasteful number, since it uses less digits than its factorization.

56064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56064960 is about 7487.6538381525. The cubic root of 56064960 is about 382.7341127352.

The spelling of 56064960 in words is "fifty-six million, sixty-four thousand, nine hundred sixty".