54673584 has 160 divisors (see below), whose sum is σ = 173322240. Its totient is φ = 14515200.

The previous prime is 54673519. The next prime is 54673601. The reversal of 54673584 is 48537645.

54673584 = 1313² + 1314² + ... + 1343².

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 301974 + ... + 302154.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^54673584 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 54673584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86661120).

54673584 is an abundant number, since it is smaller than the sum of its proper divisors (118648656).

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

54673584 is a wasteful number, since it uses less digits than its factorization.

54673584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 54673584 is about 7394.1587756823. The cubic root of 54673584 is about 379.5414228125.

The spelling of 54673584 in words is "fifty-four million, six hundred seventy-three thousand, five hundred eighty-four".