53988120 has 160 divisors (see below), whose sum is σ = 191228400. Its totient is φ = 13623552.

The previous prime is 53988119. The next prime is 53988133. The reversal of 53988120 is 2188935.

It is a super-2 number, since 2×53988120² = 5829434202268800, which contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61122 + ... + 61998.

Almost surely, 2^53988120 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 53988120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95614200).

53988120 is an abundant number, since it is smaller than the sum of its proper divisors (137240280).

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

53988120 is a wasteful number, since it uses less digits than its factorization.

53988120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 53988120 is about 7347.6608522713. The cubic root of 53988120 is about 377.9485946724.

The spelling of 53988120 in words is "fifty-three million, nine hundred eighty-eight thousand, one hundred twenty".