15345664 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 7483392.

The previous prime is 15345607. The next prime is 15345667. The reversal of 15345664 is 46654351.

It is not an unprimeable number, because it can be changed into a prime (15345667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120769 + ... + 120895.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^15345664 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 15345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

15345664 is an abundant number, since it is smaller than the sum of its proper divisors (16103936).

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

15345664 is an equidigital number, since it uses as much as digits as its factorization.

15345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 15345664 is about 3917.3542091570. The cubic root of 15345664 is about 248.5012408393.

The spelling of 15345664 in words is "fifteen million, three hundred forty-five thousand, six hundred sixty-four".