13171920 has 80 divisors (see below), whose sum is σ = 41461632. Its totient is φ = 3458560.

The previous prime is 13171903. The next prime is 13171937. The reversal of 13171920 is 2917131.

13171920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13171903) and next prime (13171937).

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

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

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, 16654 + ... + 17426.

Almost surely, 2^13171920 is an apocalyptic number.

13171920 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 13171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20730816).

13171920 is an abundant number, since it is smaller than the sum of its proper divisors (28289712).

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

13171920 is a wasteful number, since it uses less digits than its factorization.

13171920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 13171920 is about 3629.3139847635. The cubic root of 13171920 is about 236.1654494340.

The spelling of 13171920 in words is "thirteen million, one hundred seventy-one thousand, nine hundred twenty".