52980624 has 60 divisors (see below), whose sum is σ = 149840236. Its totient is φ = 17473536.

The previous prime is 52980617. The next prime is 52980637. The reversal of 52980624 is 42608925.

It is a happy number.

52980624 is a `hidden beast` number, since 5 + 29 + 8 + 0 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 36723600 = 4032^2 + 6060^2 .

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 12072 + ... + 15864.

Almost surely, 2^52980624 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 52980624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74920118).

52980624 is an abundant number, since it is smaller than the sum of its proper divisors (96859612).

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

52980624 is a wasteful number, since it uses less digits than its factorization.

52980624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52980624 is about 7278.7790184893. The cubic root of 52980624 is about 375.5827951304.

The spelling of 52980624 in words is "fifty-two million, nine hundred eighty thousand, six hundred twenty-four".