54127164 has 144 divisors (see below), whose sum is σ = 162038688. Its totient is φ = 13934592.

The previous prime is 54127159. The next prime is 54127169. The reversal of 54127164 is 46172145.

It is an interprime number because it is at equal distance from previous prime (54127159) and next prime (54127169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54127169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557964 + ... + 558060.

Almost surely, 2^54127164 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 54127164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81019344).

54127164 is an abundant number, since it is smaller than the sum of its proper divisors (107911524).

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

54127164 is a wasteful number, since it uses less digits than its factorization.

54127164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 54127164 is about 7357.1165547380. The cubic root of 54127164 is about 378.2727797843.

The spelling of 54127164 in words is "fifty-four million, one hundred twenty-seven thousand, one hundred sixty-four".