54955584 has 70 divisors (see below), whose sum is σ = 162920934. Its totient is φ = 18316800.

The previous prime is 54955561. The next prime is 54955597. The reversal of 54955584 is 48555945.

54955584 is a `hidden beast` number, since 5 + 4 + 95 + 558 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 2073600 = 7272^2 + 1440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 117 + ... + 10484.

Almost surely, 2^54955584 is an apocalyptic number.

54955584 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 54955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81460467).

54955584 is an abundant number, since it is smaller than the sum of its proper divisors (107965350).

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

54955584 is a wasteful number, since it uses less digits than its factorization.

54955584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10606 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 54955584 is about 7413.2033561747. The cubic root of 54955584 is about 380.1928476362.

The spelling of 54955584 in words is "fifty-four million, nine hundred fifty-five thousand, five hundred eighty-four".