54186880 has 128 divisors (see below), whose sum is σ = 145411200. Its totient is φ = 19138560.

The previous prime is 54186863. The next prime is 54186959. The reversal of 54186880 is 8868145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302631 + ... + 302809.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^54186880 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 54186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

54186880 is an abundant number, since it is smaller than the sum of its proper divisors (91224320).

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

54186880 is a wasteful number, since it uses less digits than its factorization.

54186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 54186880 is about 7361.1738194394. The cubic root of 54186880 is about 378.4118389531.

The spelling of 54186880 in words is "fifty-four million, one hundred eighty-six thousand, eight hundred eighty".