54164688 has 80 divisors (see below), whose sum is σ = 146419200. Its totient is φ = 17233920.

The previous prime is 54164653. The next prime is 54164807. The reversal of 54164688 is 88646145.

It is a super-2 number, since 2×54164688² = 5867626852274688, 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 15 ways as a sum of consecutive naturals, for example, 132228 + ... + 132636.

It is an arithmetic number, because the mean of its divisors is an integer number (1830240).

Almost surely, 2^54164688 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 54164688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73209600).

54164688 is an abundant number, since it is smaller than the sum of its proper divisors (92254512).

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

54164688 is a wasteful number, since it uses less digits than its factorization.

54164688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 54164688 is about 7359.6662967828. Note that the first 3 decimals coincide. The cubic root of 54164688 is about 378.3601729273.

The spelling of 54164688 in words is "fifty-four million, one hundred sixty-four thousand, six hundred eighty-eight".