7365664 has 24 divisors (see below), whose sum is σ = 14895468. Its totient is φ = 3582720.

The previous prime is 7365661. The next prime is 7365667. The reversal of 7365664 is 4665637.

7365664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7365661) and next prime (7365667).

It can be written as a sum of positive squares in 2 ways, for example, as 7333264 + 32400 = 2708^2 + 180^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (7365661) 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, 1927 + ... + 4294.

Almost surely, 2^7365664 is an apocalyptic number.

7365664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

7365664 is an abundant number, since it is smaller than the sum of its proper divisors (7529804).

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

7365664 is a wasteful number, since it uses less digits than its factorization.

7365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6260 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 7365664 is about 2713.9756815417. The cubic root of 7365664 is about 194.5676504847.

It can be divided in two parts, 736 and 5664, that added together give a square (6400 = 80²).

The spelling of 7365664 in words is "seven million, three hundred sixty-five thousand, six hundred sixty-four".