16988961 has 16 divisors (see below), whose sum is σ = 25509888. Its totient is φ = 9963600.

The previous prime is 16988947. The next prime is 16988987.

16988961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16988961 - 2⁵ = 16988929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16988961.

It is not an unprimeable number, because it can be changed into a prime (16988921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7281 + ... + 9326.

It is an arithmetic number, because the mean of its divisors is an integer number (1594368).

Almost surely, 2^16988961 is an apocalyptic number.

16988961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16988961 is a deficient number, since it is larger than the sum of its proper divisors (8520927).

16988961 is a wasteful number, since it uses less digits than its factorization.

16988961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16652.

The product of its digits is 186624, while the sum is 48.

The square root of 16988961 is about 4121.7667328465. The cubic root of 16988961 is about 257.0724913726.

The spelling of 16988961 in words is "sixteen million, nine hundred eighty-eight thousand, nine hundred sixty-one".