53640576 has 256 divisors, whose sum is σ = 185068800. Its totient is φ = 15114240.

The previous prime is 53640557. The next prime is 53640589. The reversal of 53640576 is 67504635.

53640576 is a `hidden beast` number, since 5 + 3 + 640 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×53640576² = 5754622787223552, which contains 22 as substring.

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 53640576.

It is a congruent number.

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, 646231 + ... + 646313.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^53640576 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 53640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

53640576 is an abundant number, since it is smaller than the sum of its proper divisors (131428224).

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

53640576 is a wasteful number, since it uses less digits than its factorization.

53640576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 53640576 is about 7323.9726924668. The cubic root of 53640576 is about 377.1358440254.

The spelling of 53640576 in words is "fifty-three million, six hundred forty thousand, five hundred seventy-six".