54418160 has 40 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 21519872.

The previous prime is 54418153. The next prime is 54418187. The reversal of 54418160 is 6181445.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×54418160² = 5922672275571200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3299 + ... + 10941.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^54418160 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 54418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

54418160 is an abundant number, since it is smaller than the sum of its proper divisors (73542400).

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

54418160 is a wasteful number, since it uses less digits than its factorization.

54418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 54418160 is about 7376.8665434587. The cubic root of 54418160 is about 378.9494529071.

The spelling of 54418160 in words is "fifty-four million, four hundred eighteen thousand, one hundred sixty".