54153984 has 72 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 17855488.

The previous prime is 54153973. The next prime is 54153997. The reversal of 54153984 is 48935145.

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, 81847 + ... + 82505.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 2^54153984 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 54153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

54153984 is an abundant number, since it is smaller than the sum of its proper divisors (91542336).

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

54153984 is a wasteful number, since it uses less digits than its factorization.

54153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 54153984 is about 7358.9390539670. The cubic root of 54153984 is about 378.3352474993.

The spelling of 54153984 in words is "fifty-four million, one hundred fifty-three thousand, nine hundred eighty-four".