54389664 has 288 divisors, whose sum is σ = 200672640. Its totient is φ = 13989888.

The previous prime is 54389639. The next prime is 54389689. The reversal of 54389664 is 46698345.

It is an interprime number because it is at equal distance from previous prime (54389639) and next prime (54389689).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2364757 + ... + 2364779.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 2^54389664 is an apocalyptic number.

54389664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100336320).

54389664 is an abundant number, since it is smaller than the sum of its proper divisors (146282976).

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

54389664 is a wasteful number, since it uses less digits than its factorization.

54389664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 54389664 is about 7374.9348471698. The cubic root of 54389664 is about 378.8832958924.

The spelling of 54389664 in words is "fifty-four million, three hundred eighty-nine thousand, six hundred sixty-four".