7924864 has 32 divisors (see below), whose sum is σ = 15970140. Its totient is φ = 3916800.

The previous prime is 7924817. The next prime is 7924877. The reversal of 7924864 is 4684297.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 40000 = 2808^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12622 + ... + 13234.

Almost surely, 2^7924864 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 7924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985070).

7924864 is an abundant number, since it is smaller than the sum of its proper divisors (8045276).

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

7924864 is a wasteful number, since it uses less digits than its factorization.

7924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 7924864 is about 2815.1134968239. The cubic root of 7924864 is about 199.3718961595.

The spelling of 7924864 in words is "seven million, nine hundred twenty-four thousand, eight hundred sixty-four".