56346624 has 96 divisors (see below), whose sum is σ = 167076000. Its totient is φ = 18763776.

The previous prime is 56346617. The next prime is 56346629. The reversal of 56346624 is 42664365.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56346629) 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, 54787 + ... + 55805.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^56346624 is an apocalyptic number.

56346624 is a gapful number since it is divisible by the number (54) 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 56346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83538000).

56346624 is an abundant number, since it is smaller than the sum of its proper divisors (110729376).

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

56346624 is a wasteful number, since it uses less digits than its factorization.

56346624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1024 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 56346624 is about 7506.4388360927. The cubic root of 56346624 is about 383.3739799789.

The spelling of 56346624 in words is "fifty-six million, three hundred forty-six thousand, six hundred twenty-four".