54578160 has 480 divisors, whose sum is σ = 243734400. Its totient is φ = 10838016.

The previous prime is 54578131. The next prime is 54578171. The reversal of 54578160 is 6187545.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210472 + ... + 3210488.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^54578160 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 54578160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

54578160 is an abundant number, since it is smaller than the sum of its proper divisors (189156240).

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

54578160 is a wasteful number, since it uses less digits than its factorization.

54578160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54578160 is about 7387.7032966951. The cubic root of 54578160 is about 379.3204846002.

The spelling of 54578160 in words is "fifty-four million, five hundred seventy-eight thousand, one hundred sixty".