53875584 has 256 divisors, whose sum is σ = 193881600. Its totient is φ = 14376960.

The previous prime is 53875579. The next prime is 53875607. The reversal of 53875584 is 48557835.

Its product of digits (672000) is a multiple of the sum of its prime divisors (160).

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, 411199 + ... + 411329.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^53875584 is an apocalyptic number.

53875584 is a gapful number since it is divisible by the number (54) 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 53875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

53875584 is an abundant number, since it is smaller than the sum of its proper divisors (140006016).

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

53875584 is a wasteful number, since it uses less digits than its factorization.

53875584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 53875584 is about 7339.9989100817. The cubic root of 53875584 is about 377.6858059333.

The spelling of 53875584 in words is "fifty-three million, eight hundred seventy-five thousand, five hundred eighty-four".