53997120 has 84 divisors (see below), whose sum is σ = 185737500. Its totient is φ = 14398464.

The previous prime is 53997113. The next prime is 53997127. The reversal of 53997120 is 2179935.

It is an interprime number because it is at equal distance from previous prime (53997113) and next prime (53997127).

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 26873856 = 5208^2 + 5184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53997127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6495 + ... + 12254.

Almost surely, 2^53997120 is an apocalyptic number.

It is an amenable number.

53997120 is an abundant number, since it is smaller than the sum of its proper divisors (131740380).

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

53997120 is a wasteful number, since it uses less digits than its factorization.

53997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18772 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 53997120 is about 7348.2732665573. The cubic root of 53997120 is about 377.9695952701.

The spelling of 53997120 in words is "fifty-three million, nine hundred ninety-seven thousand, one hundred twenty".