15045984 has 72 divisors (see below), whose sum is σ = 43341480. Its totient is φ = 4950528.

The previous prime is 15045973. The next prime is 15045997. The reversal of 15045984 is 48954051.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25339 + ... + 25925.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^15045984 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 15045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670740).

15045984 is an abundant number, since it is smaller than the sum of its proper divisors (28295496).

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

15045984 is a wasteful number, since it uses less digits than its factorization.

15045984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 15045984 is about 3878.9153123006. The cubic root of 15045984 is about 246.8729643372.

The spelling of 15045984 in words is "fifteen million, forty-five thousand, nine hundred eighty-four".