54400164 has 96 divisors (see below), whose sum is σ = 161366016. Its totient is φ = 13875840.

The previous prime is 54400163. The next prime is 54400169. The reversal of 54400164 is 46100445.

It is not an unprimeable number, because it can be changed into a prime (54400163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33049 + ... + 34655.

It is an arithmetic number, because the mean of its divisors is an integer number (1680896).

Almost surely, 2^54400164 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 54400164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80683008).

54400164 is an abundant number, since it is smaller than the sum of its proper divisors (106965852).

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

54400164 is a wasteful number, since it uses less digits than its factorization.

54400164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54400164 is about 7375.6466835119. The cubic root of 54400164 is about 378.9076756387.

The spelling of 54400164 in words is "fifty-four million, four hundred thousand, one hundred sixty-four".