56299824 has 180 divisors, whose sum is σ = 187443360. Its totient is φ = 15724800.

The previous prime is 56299819. The next prime is 56299849. The reversal of 56299824 is 42899265.

56299824 is a `hidden beast` number, since 562 + 9 + 9 + 82 + 4 = 666.

Its product of digits (311040) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 56299824.

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 35 ways as a sum of consecutive naturals, for example, 557374 + ... + 557474.

It is an arithmetic number, because the mean of its divisors is an integer number (1041352).

Almost surely, 2^56299824 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 56299824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93721680).

56299824 is an abundant number, since it is smaller than the sum of its proper divisors (131143536).

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

56299824 is a wasteful number, since it uses less digits than its factorization.

56299824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56299824 is about 7503.3208647905. The cubic root of 56299824 is about 383.2678105190.

The spelling of 56299824 in words is "fifty-six million, two hundred ninety-nine thousand, eight hundred twenty-four".