56988672 has 88 divisors (see below), whose sum is σ = 163694496. Its totient is φ = 17522688.

The previous prime is 56988671. The next prime is 56988677. The reversal of 56988672 is 27688965.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56988671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39223 + ... + 40649.

Almost surely, 2^56988672 is an apocalyptic number.

56988672 is a gapful number since it is divisible by the number (52) 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 56988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81847248).

56988672 is an abundant number, since it is smaller than the sum of its proper divisors (106705824).

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

56988672 is a wasteful number, since it uses less digits than its factorization.

56988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1445 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 56988672 is about 7549.0841828662. The cubic root of 56988672 is about 384.8246168065.

The spelling of 56988672 in words is "fifty-six million, nine hundred eighty-eight thousand, six hundred seventy-two".