56746496 has 40 divisors (see below), whose sum is σ = 114350940. Its totient is φ = 28131328.

The previous prime is 56746471. The next prime is 56746499. The reversal of 56746496 is 69464765.

It can be written as a sum of positive squares in 2 ways, for example, as 52998400 + 3748096 = 7280^2 + 1936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56746496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56746499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69740 + ... + 70548.

Almost surely, 2^56746496 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 56746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57175470).

56746496 is an abundant number, since it is smaller than the sum of its proper divisors (57604444).

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

56746496 is an equidigital number, since it uses as much as digits as its factorization.

56746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The square root of 56746496 is about 7533.0270144212. The cubic root of 56746496 is about 384.2787328134.

The spelling of 56746496 in words is "fifty-six million, seven hundred forty-six thousand, four hundred ninety-six".