10168920 has 96 divisors (see below), whose sum is σ = 33808320. Its totient is φ = 2649600.

The previous prime is 10168901. The next prime is 10168927. The reversal of 10168920 is 2986101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16620 + ... + 17220.

It is an arithmetic number, because the mean of its divisors is an integer number (352170).

Almost surely, 2^10168920 is an apocalyptic number.

10168920 is a gapful number since it is divisible by the number (10) 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 10168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904160).

10168920 is an abundant number, since it is smaller than the sum of its proper divisors (23639400).

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

10168920 is a wasteful number, since it uses less digits than its factorization.

10168920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10168920 is about 3188.8744095684. The cubic root of 10168920 is about 216.6497922427.

The spelling of 10168920 in words is "ten million, one hundred sixty-eight thousand, nine hundred twenty".