53907984 has 160 divisors (see below), whose sum is σ = 172905600. Its totient is φ = 15966720.

The previous prime is 53907979. The next prime is 53908061. The reversal of 53907984 is 48970935.

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, 162699 + ... + 163029.

It is an arithmetic number, because the mean of its divisors is an integer number (1080660).

Almost surely, 2^53907984 is an apocalyptic number.

53907984 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 53907984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86452800).

53907984 is an abundant number, since it is smaller than the sum of its proper divisors (118997616).

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

53907984 is a wasteful number, since it uses less digits than its factorization.

53907984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 53907984 is about 7342.2056631505. The cubic root of 53907984 is about 377.7615023618.

The spelling of 53907984 in words is "fifty-three million, nine hundred seven thousand, nine hundred eighty-four".