53038920 has 128 divisors (see below), whose sum is σ = 181232640. Its totient is φ = 12291840.

The previous prime is 53038907. The next prime is 53038949. The reversal of 53038920 is 2983035.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29487 + ... + 31233.

It is an arithmetic number, because the mean of its divisors is an integer number (1415880).

Almost surely, 2^53038920 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 53038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90616320).

53038920 is an abundant number, since it is smaller than the sum of its proper divisors (128193720).

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

53038920 is a wasteful number, since it uses less digits than its factorization.

53038920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

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

The square root of 53038920 is about 7282.7824353059. The cubic root of 53038920 is about 375.7204992401.

The spelling of 53038920 in words is "fifty-three million, thirty-eight thousand, nine hundred twenty".