56987424 has 144 divisors (see below), whose sum is σ = 180520704. Its totient is φ = 16934400.

The previous prime is 56987419. The next prime is 56987467. The reversal of 56987424 is 42478965.

It is a happy number.

56987424 is a `hidden beast` number, since 569 + 87 + 4 + 2 + 4 = 666.

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

Its product of digits (483840) is a multiple of the sum of its prime divisors (540).

It is a self number, because there is not a number n which added to its sum of digits gives 56987424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115819 + ... + 116309.

It is an arithmetic number, because the mean of its divisors is an integer number (1253616).

Almost surely, 2^56987424 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 56987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90260352).

56987424 is an abundant number, since it is smaller than the sum of its proper divisors (123533280).

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

56987424 is a wasteful number, since it uses less digits than its factorization.

56987424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 56987424 is about 7549.0015233804. The cubic root of 56987424 is about 384.8218076832.

The spelling of 56987424 in words is "fifty-six million, nine hundred eighty-seven thousand, four hundred twenty-four".