56124640 has 144 divisors (see below), whose sum is σ = 157659264. Its totient is φ = 18754560.

The previous prime is 56124637. The next prime is 56124659. The reversal of 56124640 is 4642165.

It is a junction number, because it is equal to n+sod(n) for n = 56124599 and 56124608.

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 23 ways as a sum of consecutive naturals, for example, 251569 + ... + 251791.

It is an arithmetic number, because the mean of its divisors is an integer number (1094856).

Almost surely, 2^56124640 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 56124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829632).

56124640 is an abundant number, since it is smaller than the sum of its proper divisors (101534624).

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

56124640 is a wasteful number, since it uses less digits than its factorization.

56124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 56124640 is about 7491.6380051361. The cubic root of 56124640 is about 382.8698687811.

The spelling of 56124640 in words is "fifty-six million, one hundred twenty-four thousand, six hundred forty".