8100456 has 64 divisors (see below), whose sum is σ = 24931200. Its totient is φ = 2135808.

The previous prime is 8100437. The next prime is 8100457. The reversal of 8100456 is 6540018.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8100457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330 + ... + 4038.

It is an arithmetic number, because the mean of its divisors is an integer number (389550).

Almost surely, 2^8100456 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 8100456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465600).

8100456 is an abundant number, since it is smaller than the sum of its proper divisors (16830744).

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

8100456 is a wasteful number, since it uses less digits than its factorization.

8100456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8100456 is about 2846.1300040581. The cubic root of 8100456 is about 200.8336536135.

The spelling of 8100456 in words is "eight million, one hundred thousand, four hundred fifty-six".