53958120 has 64 divisors (see below), whose sum is σ = 165654720. Its totient is φ = 14052864.

The previous prime is 53958101. The next prime is 53958133. The reversal of 53958120 is 2185935.

It is a super-2 number, since 2×53958120² = 5822957427868800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69 + ... + 10388.

It is an arithmetic number, because the mean of its divisors is an integer number (2588355).

Almost surely, 2^53958120 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 53958120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82827360).

53958120 is an abundant number, since it is smaller than the sum of its proper divisors (111696600).

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

53958120 is a wasteful number, since it uses less digits than its factorization.

53958120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 53958120 is about 7345.6191025672. The cubic root of 53958120 is about 377.8785758197.

The spelling of 53958120 in words is "fifty-three million, nine hundred fifty-eight thousand, one hundred twenty".