55952624 has 80 divisors (see below), whose sum is σ = 135324672. Its totient is φ = 21821184.

The previous prime is 55952599. The next prime is 55952639. The reversal of 55952624 is 42625955.

55952624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55952624² = 6261392264970752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120617 + ... + 121079.

Almost surely, 2^55952624 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 55952624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67662336).

55952624 is an abundant number, since it is smaller than the sum of its proper divisors (79372048).

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

55952624 is a wasteful number, since it uses less digits than its factorization.

55952624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 108000, while the sum is 38.

The square root of 55952624 is about 7480.1486616243. The cubic root of 55952624 is about 382.4783167967.

The spelling of 55952624 in words is "fifty-five million, nine hundred fifty-two thousand, six hundred twenty-four".