10641792 has 128 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 2930688.

The previous prime is 10641791. The next prime is 10641793. The reversal of 10641792 is 29714601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10641791) and next prime (10641793).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10641792² = 226495473942528, which contains 22 as substring.

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 (10641791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99403 + ... + 99509.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 2^10641792 is an apocalyptic number.

10641792 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 10641792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

10641792 is an abundant number, since it is smaller than the sum of its proper divisors (22846848).

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

10641792 is a wasteful number, since it uses less digits than its factorization.

10641792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

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

The square root of 10641792 is about 3262.1759609193. The cubic root of 10641792 is about 219.9572368674.

The spelling of 10641792 in words is "ten million, six hundred forty-one thousand, seven hundred ninety-two".