55842624 has 84 divisors (see below), whose sum is σ = 162564064. Its totient is φ = 18323712.

The previous prime is 55842623. The next prime is 55842641. The reversal of 55842624 is 42624855.

It is a happy number.

55842624 is a `hidden beast` number, since 558 + 42 + 62 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55842623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37869 + ... + 39315.

Almost surely, 2^55842624 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 55842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81282032).

55842624 is an abundant number, since it is smaller than the sum of its proper divisors (106721440).

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

55842624 is a wasteful number, since it uses less digits than its factorization.

55842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1519 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 55842624 is about 7472.7922492198. The cubic root of 55842624 is about 382.2275080895.

The spelling of 55842624 in words is "fifty-five million, eight hundred forty-two thousand, six hundred twenty-four".