53845264 has 80 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 23184000.

The previous prime is 53845223. The next prime is 53845279. The reversal of 53845264 is 46254835.

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, 387307 + ... + 387445.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^53845264 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 53845264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

53845264 is an abundant number, since it is smaller than the sum of its proper divisors (66147056).

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

53845264 is a wasteful number, since it uses less digits than its factorization.

53845264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 53845264 is about 7337.9332240080. The cubic root of 53845264 is about 377.6149415351.

It can be divided in two parts, 5384 and 5264, that added together give a cube (10648 = 22³).

The spelling of 53845264 in words is "fifty-three million, eight hundred forty-five thousand, two hundred sixty-four".