56537376 has 192 divisors, whose sum is σ = 185068800. Its totient is φ = 15052800.

The previous prime is 56537363. The next prime is 56537417. The reversal of 56537376 is 67373565.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559726 + ... + 559826.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^56537376 is an apocalyptic number.

56537376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56537376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

56537376 is an abundant number, since it is smaller than the sum of its proper divisors (128531424).

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

56537376 is a wasteful number, since it uses less digits than its factorization.

56537376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its digits is 396900, while the sum is 42.

The square root of 56537376 is about 7519.1339926883. The cubic root of 56537376 is about 383.8061087131.

The spelling of 56537376 in words is "fifty-six million, five hundred thirty-seven thousand, three hundred seventy-six".