7640864 has 72 divisors (see below), whose sum is σ = 19132848. Its totient is φ = 2970240.

The previous prime is 7640861. The next prime is 7640873. The reversal of 7640864 is 4680467.

It is not an unprimeable number, because it can be changed into a prime (7640861) 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, 17027 + ... + 17469.

It is an arithmetic number, because the mean of its divisors is an integer number (265734).

Almost surely, 2^7640864 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 7640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566424).

7640864 is an abundant number, since it is smaller than the sum of its proper divisors (11491984).

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

7640864 is a wasteful number, since it uses less digits than its factorization.

7640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 7640864 is about 2764.2112799133. The cubic root of 7640864 is about 196.9612642539.

The spelling of 7640864 in words is "seven million, six hundred forty thousand, eight hundred sixty-four".