16985520 has 120 divisors (see below), whose sum is σ = 58960512. Its totient is φ = 4377600.

The previous prime is 16985497. The next prime is 16985531. The reversal of 16985520 is 2558961.

16985520 = 713² + 714² + ... + 744².

It is a happy number.

16985520 is a `hidden beast` number, since 16 + 98 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21940 + ... + 22700.

Almost surely, 2^16985520 is an apocalyptic number.

16985520 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 16985520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480256).

16985520 is an abundant number, since it is smaller than the sum of its proper divisors (41974992).

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

16985520 is a wasteful number, since it uses less digits than its factorization.

16985520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 16985520 is about 4121.3492936173. The cubic root of 16985520 is about 257.0551340983.

The spelling of 16985520 in words is "sixteen million, nine hundred eighty-five thousand, five hundred twenty".