56507824 has 40 divisors (see below), whose sum is σ = 116103680. Its totient is φ = 26568000.

The previous prime is 56507821. The next prime is 56507827. The reversal of 56507824 is 42870565.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56507821) and next prime (56507827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56507821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45289 + ... + 46519.

It is an arithmetic number, because the mean of its divisors is an integer number (2902592).

Almost surely, 2^56507824 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 56507824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58051840).

56507824 is an abundant number, since it is smaller than the sum of its proper divisors (59595856).

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

56507824 is a wasteful number, since it uses less digits than its factorization.

56507824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 56507824 is about 7517.1686159085. The cubic root of 56507824 is about 383.7392254364.

The spelling of 56507824 in words is "fifty-six million, five hundred seven thousand, eight hundred twenty-four".