53184800 has 72 divisors (see below), whose sum is σ = 136710000. Its totient is φ = 20148480.

The previous prime is 53184787. The next prime is 53184827. The reversal of 53184800 is 848135.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13451 + ... + 16949.

It is an arithmetic number, because the mean of its divisors is an integer number (1898750).

Almost surely, 2^53184800 is an apocalyptic number.

53184800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53184800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68355000).

53184800 is an abundant number, since it is smaller than the sum of its proper divisors (83525200).

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

53184800 is a wasteful number, since it uses less digits than its factorization.

53184800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 53184800 is about 7292.7909609422. The cubic root of 53184800 is about 376.0646486092.

The spelling of 53184800 in words is "fifty-three million, one hundred eighty-four thousand, eight hundred".