10807992 has 80 divisors (see below), whose sum is σ = 32626440. Its totient is φ = 3322944.

The previous prime is 10807987. The next prime is 10807997. The reversal of 10807992 is 29970801.

It is a happy number.

10807992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10807987) and next prime (10807997).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (10807997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7783 + ... + 9065.

Almost surely, 2^10807992 is an apocalyptic number.

10807992 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 10807992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313220).

10807992 is an abundant number, since it is smaller than the sum of its proper divisors (21818448).

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

10807992 is a wasteful number, since it uses less digits than its factorization.

10807992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

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

The square root of 10807992 is about 3287.5510642422. The cubic root of 10807992 is about 221.0964001410.

It can be divided in two parts, 1080799 and 2, that added together give a palindrome (1080801).

The spelling of 10807992 in words is "ten million, eight hundred seven thousand, nine hundred ninety-two".