53124960 has 192 divisors, whose sum is σ = 194406912. Its totient is φ = 11943936.

The previous prime is 53124919. The next prime is 53124977. The reversal of 53124960 is 6942135.

53124960 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 2×53124960² = 5644522750003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 325839 + ... + 326001.

It is an arithmetic number, because the mean of its divisors is an integer number (1012536).

Almost surely, 2^53124960 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 53124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97203456).

53124960 is an abundant number, since it is smaller than the sum of its proper divisors (141281952).

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

53124960 is a wasteful number, since it uses less digits than its factorization.

53124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 53124960 is about 7288.6871245787. The cubic root of 53124960 is about 375.9235547018.

The spelling of 53124960 in words is "fifty-three million, one hundred twenty-four thousand, nine hundred sixty".