10268160 has 160 divisors (see below), whose sum is σ = 37711872. Its totient is φ = 2334720.

The previous prime is 10268149. The next prime is 10268171. The reversal of 10268160 is 6186201.

It is an interprime number because it is at equal distance from previous prime (10268149) and next prime (10268171).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10268160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53665 + ... + 53855.

Almost surely, 2^10268160 is an apocalyptic number.

10268160 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 10268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855936).

10268160 is an abundant number, since it is smaller than the sum of its proper divisors (27443712).

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

10268160 is an equidigital number, since it uses as much as digits as its factorization.

10268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10268160 is about 3204.3969791522. The cubic root of 10268160 is about 217.3522844286.

The spelling of 10268160 in words is "ten million, two hundred sixty-eight thousand, one hundred sixty".