16972560 has 120 divisors (see below), whose sum is σ = 62210304. Its totient is φ = 4112640.

The previous prime is 16972559. The next prime is 16972577. The reversal of 16972560 is 6527961.

16972560 is a `hidden beast` number, since 1 + 6 + 97 + 2 + 560 = 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, 6849 + ... + 8991.

Almost surely, 2^16972560 is an apocalyptic number.

16972560 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 16972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31105152).

16972560 is an abundant number, since it is smaller than the sum of its proper divisors (45237744).

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

16972560 is a wasteful number, since it uses less digits than its factorization.

16972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 16972560 is about 4119.7766929774. The cubic root of 16972560 is about 256.9897395309.

The spelling of 16972560 in words is "sixteen million, nine hundred seventy-two thousand, five hundred sixty".