10809400 has 72 divisors (see below), whose sum is σ = 29261520. Its totient is φ = 3702720.

The previous prime is 10809391. The next prime is 10809401. The reversal of 10809400 is 490801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10809401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9249 + ... + 10351.

It is an arithmetic number, because the mean of its divisors is an integer number (406410).

Almost surely, 2^10809400 is an apocalyptic number.

10809400 is a gapful number since it is divisible by the number (10) 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 10809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630760).

10809400 is an abundant number, since it is smaller than the sum of its proper divisors (18452120).

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

10809400 is a wasteful number, since it uses less digits than its factorization.

10809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10809400 is about 3287.7651984289. The cubic root of 10809400 is about 221.1060007592.

The spelling of 10809400 in words is "ten million, eight hundred nine thousand, four hundred".