56001624 has 64 divisors (see below), whose sum is σ = 165181440. Its totient is φ = 15482880.

The previous prime is 56001611. The next prime is 56001641. The reversal of 56001624 is 42610065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 56001594 and 56001603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (2580960).

Almost surely, 2^56001624 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 56001624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82590720).

56001624 is an abundant number, since it is smaller than the sum of its proper divisors (109179816).

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

56001624 is a wasteful number, since it uses less digits than its factorization.

56001624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56001624 is about 7483.4232808254. The cubic root of 56001624 is about 382.5899348523.

Adding to 56001624 its reverse (42610065), we get a palindrome (98611689).

The spelling of 56001624 in words is "fifty-six million, one thousand, six hundred twenty-four".