53988624 has 60 divisors (see below), whose sum is σ = 155192076. Its totient is φ = 17508096.

The previous prime is 53988611. The next prime is 53988631. The reversal of 53988624 is 42688935.

53988624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45968400 + 8020224 = 6780^2 + 2832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53988624.

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 11 ways as a sum of consecutive naturals, for example, 262 + ... + 10394.

Almost surely, 2^53988624 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 53988624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77596038).

53988624 is an abundant number, since it is smaller than the sum of its proper divisors (101203452).

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

53988624 is a wasteful number, since it uses less digits than its factorization.

53988624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10175 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 53988624 is about 7347.6951488205. The cubic root of 53988624 is about 377.9497707676.

The spelling of 53988624 in words is "fifty-three million, nine hundred eighty-eight thousand, six hundred twenty-four".