54507984 has 80 divisors (see below), whose sum is σ = 151472448. Its totient is φ = 16828416.

The previous prime is 54507977. The next prime is 54507989. The reversal of 54507984 is 48970545.

It is a super-2 number, since 2×54507984² = 5942240639488512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54507989) 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, 54174 + ... + 55170.

Almost surely, 2^54507984 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 54507984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75736224).

54507984 is an abundant number, since it is smaller than the sum of its proper divisors (96964464).

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

54507984 is a wasteful number, since it uses less digits than its factorization.

54507984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 54507984 is about 7382.9522550264. The cubic root of 54507984 is about 379.1578394972.

The spelling of 54507984 in words is "fifty-four million, five hundred seven thousand, nine hundred eighty-four".