56987460 has 108 divisors (see below), whose sum is σ = 182646828. Its totient is φ = 14380416.

The previous prime is 56987419. The next prime is 56987467. The reversal of 56987460 is 6478965.

56987460 is a `hidden beast` number, since 569 + 87 + 4 + 6 + 0 = 666.

56987460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 21846276 = 5928^2 + 4674^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56987467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64542 + ... + 65418.

Almost surely, 2^56987460 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 56987460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91323414).

56987460 is an abundant number, since it is smaller than the sum of its proper divisors (125659368).

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

56987460 is a wasteful number, since it uses less digits than its factorization.

56987460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56987460 is about 7549.0039078013. The cubic root of 56987460 is about 384.8218887162.

The spelling of 56987460 in words is "fifty-six million, nine hundred eighty-seven thousand, four hundred sixty".