55957824 has 224 divisors, whose sum is σ = 184343040. Its totient is φ = 16533504.

The previous prime is 55957817. The next prime is 55957861. The reversal of 55957824 is 42875955.

55957824 is a `hidden beast` number, since 5 + 59 + 578 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55957824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055782 + ... + 1055834.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 2^55957824 is an apocalyptic number.

55957824 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 55957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

55957824 is an abundant number, since it is smaller than the sum of its proper divisors (128385216).

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

55957824 is a wasteful number, since it uses less digits than its factorization.

55957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 55957824 is about 7480.4962402236. The cubic root of 55957824 is about 382.4901650682.

The spelling of 55957824 in words is "fifty-five million, nine hundred fifty-seven thousand, eight hundred twenty-four".