56124684 has 192 divisors, whose sum is σ = 192568320. Its totient is φ = 13685760.

The previous prime is 56124659. The next prime is 56124703. The reversal of 56124684 is 48642165.

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

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 63 ways as a sum of consecutive naturals, for example, 141174 + ... + 141570.

It is an arithmetic number, because the mean of its divisors is an integer number (1002960).

Almost surely, 2^56124684 is an apocalyptic number.

56124684 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 56124684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96284160).

56124684 is an abundant number, since it is smaller than the sum of its proper divisors (136443636).

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

56124684 is a wasteful number, since it uses less digits than its factorization.

56124684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56124684 is about 7491.6409417430. The cubic root of 56124684 is about 382.8699688338.

It can be divided in two parts, 5612 and 4684, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 56124684 in words is "fifty-six million, one hundred twenty-four thousand, six hundred eighty-four".