15045664 has 48 divisors (see below), whose sum is σ = 31691520. Its totient is φ = 7015680.

The previous prime is 15045661. The next prime is 15045671. The reversal of 15045664 is 46654051.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (15045661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28507 + ... + 29029.

It is an arithmetic number, because the mean of its divisors is an integer number (660240).

Almost surely, 2^15045664 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 15045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845760).

15045664 is an abundant number, since it is smaller than the sum of its proper divisors (16645856).

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

15045664 is a wasteful number, since it uses less digits than its factorization.

15045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 15045664 is about 3878.8740634365. The cubic root of 15045664 is about 246.8712141491.

The spelling of 15045664 in words is "fifteen million, forty-five thousand, six hundred sixty-four".