53908624 has 160 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 19474560.

The previous prime is 53908609. The next prime is 53908637. The reversal of 53908624 is 42680935.

It is a super-2 number, since 2×53908624² = 5812279483146752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146969 + ... + 1147015.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^53908624 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 53908624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

53908624 is an abundant number, since it is smaller than the sum of its proper divisors (88939376).

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

53908624 is a wasteful number, since it uses less digits than its factorization.

53908624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 53908624 is about 7342.2492466546. The cubic root of 53908624 is about 377.7629972943.

The spelling of 53908624 in words is "fifty-three million, nine hundred eight thousand, six hundred twenty-four".