17116920 has 112 divisors (see below), whose sum is σ = 57841560. Its totient is φ = 4556736.

The previous prime is 17116919. The next prime is 17116937. The reversal of 17116920 is 2961171.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28867 + ... + 29453.

Almost surely, 2^17116920 is an apocalyptic number.

17116920 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 17116920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28920780).

17116920 is an abundant number, since it is smaller than the sum of its proper divisors (40724640).

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

17116920 is an equidigital number, since it uses as much as digits as its factorization.

17116920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 17116920 is about 4137.2599628256. The cubic root of 17116920 is about 257.7162917056.

The spelling of 17116920 in words is "seventeen million, one hundred sixteen thousand, nine hundred twenty".