8640456 has 64 divisors (see below), whose sum is σ = 24606720. Its totient is φ = 2502720.

The previous prime is 8640451. The next prime is 8640481. The reversal of 8640456 is 6540468.

It is a happy number.

8640456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8640451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5361 + ... + 6783.

It is an arithmetic number, because the mean of its divisors is an integer number (384480).

Almost surely, 2^8640456 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 8640456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303360).

8640456 is an abundant number, since it is smaller than the sum of its proper divisors (15966264).

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

8640456 is a wasteful number, since it uses less digits than its factorization.

8640456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8640456 is about 2939.4652574916. The cubic root of 8640456 is about 205.2007234869.

The spelling of 8640456 in words is "eight million, six hundred forty thousand, four hundred fifty-six".