7813664 has 12 divisors (see below), whose sum is σ = 15383214. Its totient is φ = 3906816.

The previous prime is 7813661. The next prime is 7813669. The reversal of 7813664 is 4663187.

It can be written as a sum of positive squares in only one way, i.e., 7728400 + 85264 = 2780^2 + 292^2 .

It is a super-2 number, since 2×7813664² = 122106690209792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813661) by changing a digit.

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 as a sum of consecutive naturals, namely, 122057 + ... + 122120.

Almost surely, 2^7813664 is an apocalyptic number.

It is an amenable number.

7813664 is a deficient number, since it is larger than the sum of its proper divisors (7569550).

7813664 is a wasteful number, since it uses less digits than its factorization.

7813664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244187 (or 244179 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 7813664 is about 2795.2931867695. The cubic root of 7813664 is about 198.4349855924.

The spelling of 7813664 in words is "seven million, eight hundred thirteen thousand, six hundred sixty-four".