53904960 has 224 divisors, whose sum is σ = 201899520. Its totient is φ = 13492224.

The previous prime is 53904959. The next prime is 53905003. The reversal of 53904960 is 6940935.

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

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, 146697 + ... + 147063.

Almost surely, 2^53904960 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 53904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100949760).

53904960 is an abundant number, since it is smaller than the sum of its proper divisors (147994560).

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

53904960 is a wasteful number, since it uses less digits than its factorization.

53904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 53904960 is about 7341.9997275947. Note that the first 3 decimals coincide. The cubic root of 53904960 is about 377.7544386453.

The spelling of 53904960 in words is "fifty-three million, nine hundred four thousand, nine hundred sixty".