56164560 has 80 divisors (see below), whose sum is σ = 179750400. Its totient is φ = 14492160.

The previous prime is 56164541. The next prime is 56164571. The reversal of 56164560 is 6546165.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3666 + ... + 11214.

It is an arithmetic number, because the mean of its divisors is an integer number (2246880).

Almost surely, 2^56164560 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 56164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89875200).

56164560 is an abundant number, since it is smaller than the sum of its proper divisors (123585840).

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

56164560 is a wasteful number, since it uses less digits than its factorization.

56164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56164560 is about 7494.3018353947. The cubic root of 56164560 is about 382.9606224017.

The spelling of 56164560 in words is "fifty-six million, one hundred sixty-four thousand, five hundred sixty".