56461140 has 72 divisors (see below), whose sum is σ = 172311048. Its totient is φ = 14964480.

The previous prime is 56461127. The next prime is 56461151. The reversal of 56461140 is 4116465.

56461140 is a `hidden beast` number, since 5 + 6 + 4 + 611 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 56340036 = 348^2 + 7506^2 .

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, 31714 + ... + 33446.

It is an arithmetic number, because the mean of its divisors is an integer number (2393209).

Almost surely, 2^56461140 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 56461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86155524).

56461140 is an abundant number, since it is smaller than the sum of its proper divisors (115849908).

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

56461140 is a wasteful number, since it uses less digits than its factorization.

56461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56461140 is about 7514.0628158141. The cubic root of 56461140 is about 383.6335207961.

It can be divided in two parts, 5646 and 1140, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 56461140 in words is "fifty-six million, four hundred sixty-one thousand, one hundred forty".