10508792 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 4181760.

The previous prime is 10508789. The next prime is 10508801. The reversal of 10508792 is 29780501.

It is a super-2 number, since 2×10508792² = 220869418598528, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 52709 + ... + 52907.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^10508792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10508792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

10508792 is an abundant number, since it is smaller than the sum of its proper divisors (13683208).

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

10508792 is a wasteful number, since it uses less digits than its factorization.

10508792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10508792 is about 3241.7267003867. The cubic root of 10508792 is about 219.0370585661.

The spelling of 10508792 in words is "ten million, five hundred eight thousand, seven hundred ninety-two".