53813376 has 128 divisors (see below), whose sum is σ = 165974400. Its totient is φ = 17132544.

The previous prime is 53813363. The next prime is 53813387. The reversal of 53813376 is 67331835.

It is a tau number, because it is divible by the number of its divisors (128).

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 53813376.

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, 79150 + ... + 79826.

It is an arithmetic number, because the mean of its divisors is an integer number (1296675).

Almost surely, 2^53813376 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 53813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82987200).

53813376 is an abundant number, since it is smaller than the sum of its proper divisors (112161024).

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

53813376 is a wasteful number, since it uses less digits than its factorization.

53813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 705 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 53813376 is about 7335.7600833179. The cubic root of 53813376 is about 377.5403836744.

The spelling of 53813376 in words is "fifty-three million, eight hundred thirteen thousand, three hundred seventy-six".