16717920 has 96 divisors (see below), whose sum is σ = 54522720. Its totient is φ = 4300800.

The previous prime is 16717903. The next prime is 16717931. The reversal of 16717920 is 2971761.

16717920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

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, 13320 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (567945).

Almost surely, 2^16717920 is an apocalyptic number.

16717920 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 16717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27261360).

16717920 is an abundant number, since it is smaller than the sum of its proper divisors (37804800).

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

16717920 is a wasteful number, since it uses less digits than its factorization.

16717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 16717920 is about 4088.7553118278. The cubic root of 16717920 is about 255.6980489378.

It can be divided in two parts, 1671 and 7920, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 16717920 in words is "sixteen million, seven hundred seventeen thousand, nine hundred twenty".