56767536 has 120 divisors (see below), whose sum is σ = 183123200. Its totient is φ = 16080768.

The previous prime is 56767531. The next prime is 56767547. The reversal of 56767536 is 63576765.

56767536 is a `hidden beast` number, since 56 + 7 + 67 + 536 = 666.

It is a super-2 number, since 2×56767536² = 6445106287022592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56767491 and 56767500.

It is not an unprimeable number, because it can be changed into a prime (56767531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200451 + ... + 200733.

Almost surely, 2^56767536 is an apocalyptic number.

56767536 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 56767536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91561600).

56767536 is an abundant number, since it is smaller than the sum of its proper divisors (126355664).

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

56767536 is a wasteful number, since it uses less digits than its factorization.

56767536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 56767536 is about 7534.4234019598. The cubic root of 56767536 is about 384.3262201830.

The spelling of 56767536 in words is "fifty-six million, seven hundred sixty-seven thousand, five hundred thirty-six".