10809456 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 3025152.

The previous prime is 10809451. The next prime is 10809457. The reversal of 10809456 is 65490801.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10809451) 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, 17505 + ... + 18111.

Almost surely, 2^10809456 is an apocalyptic number.

10809456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10809456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

10809456 is an abundant number, since it is smaller than the sum of its proper divisors (21759888).

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

10809456 is a wasteful number, since it uses less digits than its factorization.

10809456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10809456 is about 3287.7737148411. The cubic root of 10809456 is about 221.1063825847.

The spelling of 10809456 in words is "ten million, eight hundred nine thousand, four hundred fifty-six".