8940456 has 128 divisors (see below), whose sum is σ = 29126400. Its totient is φ = 2519424.

The previous prime is 8940433. The next prime is 8940457. The reversal of 8940456 is 6540498.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8940456.

It is not an unprimeable number, because it can be changed into a prime (8940457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122436 + ... + 122508.

It is an arithmetic number, because the mean of its divisors is an integer number (227550).

Almost surely, 2^8940456 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 8940456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563200).

8940456 is an abundant number, since it is smaller than the sum of its proper divisors (20185944).

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

8940456 is an equidigital number, since it uses as much as digits as its factorization.

8940456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8940456 is about 2990.0595311799. The cubic root of 8940456 is about 207.5486391035.

The spelling of 8940456 in words is "eight million, nine hundred forty thousand, four hundred fifty-six".