10809792 has 126 divisors (see below), whose sum is σ = 36137088. Its totient is φ = 3080448.

The previous prime is 10809791. The next prime is 10809811. The reversal of 10809792 is 29790801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10809791) 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, 28033 + ... + 28415.

Almost surely, 2^10809792 is an apocalyptic number.

10809792 is a gapful number since it is divisible by the number (12) 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 10809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).

10809792 is an abundant number, since it is smaller than the sum of its proper divisors (25327296).

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

10809792 is a wasteful number, since it uses less digits than its factorization.

10809792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10809792 is about 3287.8248128512. The cubic root of 10809792 is about 221.1086735102.

The spelling of 10809792 in words is "ten million, eight hundred nine thousand, seven hundred ninety-two".