56988000 has 144 divisors (see below), whose sum is σ = 202378176. Its totient is φ = 15187200.

The previous prime is 56987999. The next prime is 56988007. The reversal of 56988000 is 88965.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56988007) 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 23 ways as a sum of consecutive naturals, for example, 35209 + ... + 36791.

It is an arithmetic number, because the mean of its divisors is an integer number (1405404).

Almost surely, 2^56988000 is an apocalyptic number.

56988000 is a gapful number since it is divisible by the number (50) 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 56988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101189088).

56988000 is an abundant number, since it is smaller than the sum of its proper divisors (145390176).

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

56988000 is a wasteful number, since it uses less digits than its factorization.

56988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 56988000 is about 7549.0396740248. The cubic root of 56988000 is about 384.8231042067.

The spelling of 56988000 in words is "fifty-six million, nine hundred eighty-eight thousand".