7913664 has 84 divisors (see below), whose sum is σ = 24765000. Its totient is φ = 2396160.

The previous prime is 7913663. The next prime is 7913669. The reversal of 7913664 is 4663197.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7913663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5712 + ... + 6960.

Almost surely, 2^7913664 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 7913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382500).

7913664 is an abundant number, since it is smaller than the sum of its proper divisors (16851336).

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

7913664 is a wasteful number, since it uses less digits than its factorization.

7913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1265 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 7913664 is about 2813.1235308816. The cubic root of 7913664 is about 199.2779295419.

The spelling of 7913664 in words is "seven million, nine hundred thirteen thousand, six hundred sixty-four".