7412864 has 32 divisors (see below), whose sum is σ = 15284700. Its totient is φ = 3576832.

The previous prime is 7412857. The next prime is 7412879. The reversal of 7412864 is 4682147.

It can be written as a sum of positive squares in 2 ways, for example, as 6760000 + 652864 = 2600^2 + 808^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7412864.

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, 2714 + ... + 4710.

Almost surely, 2^7412864 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 7412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642350).

7412864 is an abundant number, since it is smaller than the sum of its proper divisors (7871836).

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

7412864 is a wasteful number, since it uses less digits than its factorization.

7412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2028 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 7412864 is about 2722.6575252866. The cubic root of 7412864 is about 194.9823696530.

The spelling of 7412864 in words is "seven million, four hundred twelve thousand, eight hundred sixty-four".