54660384 has 72 divisors (see below), whose sum is σ = 158417532. Its totient is φ = 17871360.

The previous prime is 54660379. The next prime is 54660413. The reversal of 54660384 is 48306645.

54660384 is a `hidden beast` number, since 5 + 46 + 603 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 6051600 = 6972^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13474 + ... + 17054.

Almost surely, 2^54660384 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 54660384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79208766).

54660384 is an abundant number, since it is smaller than the sum of its proper divisors (103757148).

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

54660384 is a wasteful number, since it uses less digits than its factorization.

54660384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54660384 is about 7393.2661253332. The cubic root of 54660384 is about 379.5108757630.

The spelling of 54660384 in words is "fifty-four million, six hundred sixty thousand, three hundred eighty-four".