7964640 has 72 divisors (see below), whose sum is σ = 27184248. Its totient is φ = 2123520.

The previous prime is 7964633. The next prime is 7964651. The reversal of 7964640 is 464697.

7964640 is a `hidden beast` number, since 7 + 9 + 6 + 4 + 640 = 666.

7964640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 a junction number, because it is equal to n+sod(n) for n = 7964595 and 7964604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326 + ... + 4205.

It is an arithmetic number, because the mean of its divisors is an integer number (377559).

Almost surely, 2^7964640 is an apocalyptic number.

It is an amenable number.

7964640 is an abundant number, since it is smaller than the sum of its proper divisors (19219608).

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

7964640 is a wasteful number, since it uses less digits than its factorization.

7964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7964640 is about 2822.1693783329. The cubic root of 7964640 is about 199.7048981219.

The spelling of 7964640 in words is "seven million, nine hundred sixty-four thousand, six hundred forty".