10830792 has 64 divisors (see below), whose sum is σ = 32302080. Its totient is φ = 2958912.

The previous prime is 10830773. The next prime is 10830793. The reversal of 10830792 is 29703801.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (10830793) 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, 2463 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (504720).

Almost surely, 2^10830792 is an apocalyptic number.

10830792 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 10830792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151040).

10830792 is an abundant number, since it is smaller than the sum of its proper divisors (21471288).

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

10830792 is a wasteful number, since it uses less digits than its factorization.

10830792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10830792 is about 3291.0168641318. The cubic root of 10830792 is about 221.2517622510.

The spelling of 10830792 in words is "ten million, eight hundred thirty thousand, seven hundred ninety-two".