10792416 has 72 divisors (see below), whose sum is σ = 30171960. Its totient is φ = 3377152.

The previous prime is 10792403. The next prime is 10792421. The reversal of 10792416 is 61429701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27550 + ... + 27938.

It is an arithmetic number, because the mean of its divisors is an integer number (419055).

Almost surely, 2^10792416 is an apocalyptic number.

10792416 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 10792416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085980).

10792416 is an abundant number, since it is smaller than the sum of its proper divisors (19379544).

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

10792416 is a wasteful number, since it uses less digits than its factorization.

10792416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 411 counting only the distinct ones).

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

The square root of 10792416 is about 3285.1812735373. The cubic root of 10792416 is about 220.9901376269.

The spelling of 10792416 in words is "ten million, seven hundred ninety-two thousand, four hundred sixteen".