54589920 has 288 divisors, whose sum is σ = 219252096. Its totient is φ = 11289600.

The previous prime is 54589903. The next prime is 54589933. The reversal of 54589920 is 2998545.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258615 + ... + 258825.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 2^54589920 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 54589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109626048).

54589920 is an abundant number, since it is smaller than the sum of its proper divisors (164662176).

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

54589920 is a wasteful number, since it uses less digits than its factorization.

54589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 54589920 is about 7388.4991710090. The cubic root of 54589920 is about 379.3477268069.

The spelling of 54589920 in words is "fifty-four million, five hundred eighty-nine thousand, nine hundred twenty".