56134960 has 80 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 18908928.

The previous prime is 56134931. The next prime is 56134963. The reversal of 56134960 is 6943165.

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

It is a super-2 number, since 2×56134960² = 6302267468403200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56134963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32191 + ... + 33889.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^56134960 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 56134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

56134960 is an abundant number, since it is smaller than the sum of its proper divisors (95641040).

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

56134960 is a wasteful number, since it uses less digits than its factorization.

56134960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 56134960 is about 7492.3267414068. The cubic root of 56134960 is about 382.8933342613.

The spelling of 56134960 in words is "fifty-six million, one hundred thirty-four thousand, nine hundred sixty".