56313180 has 288 divisors, whose sum is σ = 226437120. Its totient is φ = 10967040.

The previous prime is 56313151. The next prime is 56313203. The reversal of 56313180 is 8131365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235501 + ... + 235739.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^56313180 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 56313180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

56313180 is an abundant number, since it is smaller than the sum of its proper divisors (170123940).

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

56313180 is a wasteful number, since it uses less digits than its factorization.

56313180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56313180 is about 7504.2108179342. The cubic root of 56313180 is about 383.2981156472.

It can be divided in two parts, 56 and 313180, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 56313180 in words is "fifty-six million, three hundred thirteen thousand, one hundred eighty".