56740320 has 288 divisors, whose sum is σ = 238859712. Its totient is φ = 11943936.

The previous prime is 56740319. The next prime is 56740361. The reversal of 56740320 is 2304765.

56740320 = T₃₈₄ + T₃₈₅ + ... + T₇₃₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130824 + ... + 131256.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 2^56740320 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 56740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

56740320 is an abundant number, since it is smaller than the sum of its proper divisors (182119392).

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

56740320 is a wasteful number, since it uses less digits than its factorization.

56740320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56740320 is about 7532.6170750942. The cubic root of 56740320 is about 384.2647913267.

The spelling of 56740320 in words is "fifty-six million, seven hundred forty thousand, three hundred twenty".