53804960 has 96 divisors (see below), whose sum is σ = 146059200. Its totient is φ = 18524160.

The previous prime is 53804939. The next prime is 53804963. The reversal of 53804960 is 6940835.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53804960.

It is not an unprimeable number, because it can be changed into a prime (53804963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32636 + ... + 34244.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 2^53804960 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 53804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73029600).

53804960 is an abundant number, since it is smaller than the sum of its proper divisors (92254240).

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

53804960 is a wasteful number, since it uses less digits than its factorization.

53804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 53804960 is about 7335.1864325319. The cubic root of 53804960 is about 377.5207011732.

The spelling of 53804960 in words is "fifty-three million, eight hundred four thousand, nine hundred sixty".