10171920 has 80 divisors (see below), whose sum is σ = 34408512. Its totient is φ = 2465280.

The previous prime is 10171901. The next prime is 10171939. The reversal of 10171920 is 2917101.

It is an interprime number because it is at equal distance from previous prime (10171901) and next prime (10171939).

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

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, 714 + ... + 4566.

Almost surely, 2^10171920 is an apocalyptic number.

10171920 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 10171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204256).

10171920 is an abundant number, since it is smaller than the sum of its proper divisors (24236592).

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

10171920 is a wasteful number, since it uses less digits than its factorization.

10171920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 10171920 is about 3189.3447602917. The cubic root of 10171920 is about 216.6710952415.

The spelling of 10171920 in words is "ten million, one hundred seventy-one thousand, nine hundred twenty".