53507376 has 120 divisors (see below), whose sum is σ = 163437456. Its totient is φ = 16243200.

The previous prime is 53507371. The next prime is 53507393. The reversal of 53507376 is 67370535.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53507376.

It is not an unprimeable number, because it can be changed into a prime (53507371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188931 + ... + 189213.

Almost surely, 2^53507376 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 53507376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81718728).

53507376 is an abundant number, since it is smaller than the sum of its proper divisors (109930080).

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

53507376 is a wasteful number, since it uses less digits than its factorization.

53507376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 53507376 is about 7314.8736147660. The cubic root of 53507376 is about 376.8234180207.

The spelling of 53507376 in words is "fifty-three million, five hundred seven thousand, three hundred seventy-six".