7673664 has 56 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 2406400.

The previous prime is 7673657. The next prime is 7673671. The reversal of 7673664 is 4663767.

It is an interprime number because it is at equal distance from previous prime (7673657) and next prime (7673671).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 2^7673664 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 7673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

7673664 is an abundant number, since it is smaller than the sum of its proper divisors (13833024).

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

7673664 is a wasteful number, since it uses less digits than its factorization.

7673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2373 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 7673664 is about 2770.1379027045. The cubic root of 7673664 is about 197.2426943534.

The spelling of 7673664 in words is "seven million, six hundred seventy-three thousand, six hundred sixty-four".