7968464 has 20 divisors (see below), whose sum is σ = 17644704. Its totient is φ = 3415008.

The previous prime is 7968463. The next prime is 7968469. The reversal of 7968464 is 4648697.

It is a d-powerful number, because it can be written as 7⁷ + 9⁷ + 6⁴ + 8⁷ + 4³ + 6⁴ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35462 + ... + 35685.

Almost surely, 2^7968464 is an apocalyptic number.

It is an amenable number.

7968464 is an abundant number, since it is smaller than the sum of its proper divisors (9676240).

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

7968464 is a wasteful number, since it uses less digits than its factorization.

7968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71162 (or 71156 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 7968464 is about 2822.8467900331. The cubic root of 7968464 is about 199.7368539226.

The spelling of 7968464 in words is "seven million, nine hundred sixty-eight thousand, four hundred sixty-four".