10170880 has 80 divisors (see below), whose sum is σ = 25411320. Its totient is φ = 3899392.

The previous prime is 10170877. The next prime is 10170887. The reversal of 10170880 is 8807101.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 1597696 = 2928^2 + 1264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10170887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74172 + ... + 74308.

Almost surely, 2^10170880 is an apocalyptic number.

10170880 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 10170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705660).

10170880 is an abundant number, since it is smaller than the sum of its proper divisors (15240440).

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

10170880 is an equidigital number, since it uses as much as digits as its factorization.

10170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 10170880 is about 3189.1817132299. The cubic root of 10170880 is about 216.6637106763.

Adding to 10170880 its reverse (8807101), we get a palindrome (18977981).

The spelling of 10170880 in words is "ten million, one hundred seventy thousand, eight hundred eighty".