56601380 has 72 divisors (see below), whose sum is σ = 137639040. Its totient is φ = 19483200.

The previous prime is 56601329. The next prime is 56601397. The reversal of 56601380 is 8310665.

56601380 = T₂₂₁ + T₂₂₂ + ... + T₇₀₄.

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, 45365 + ... + 46595.

Almost surely, 2^56601380 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 56601380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68819520).

56601380 is an abundant number, since it is smaller than the sum of its proper divisors (81037660).

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

56601380 is a wasteful number, since it uses less digits than its factorization.

56601380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 56601380 is about 7523.3888640692. The cubic root of 56601380 is about 383.9508852837.

The spelling of 56601380 in words is "fifty-six million, six hundred one thousand, three hundred eighty".