16979688 has 72 divisors (see below), whose sum is σ = 50573250. Its totient is φ = 5142720.

The previous prime is 16979671. The next prime is 16979689. The reversal of 16979688 is 88697961.

It can be written as a sum of positive squares in only one way, i.e., 12236004 + 4743684 = 3498^2 + 2178^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (16979689) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7738 + ... + 9686.

Almost surely, 2^16979688 is an apocalyptic number.

16979688 is a gapful number since it is divisible by the number (18) 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 16979688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286625).

16979688 is an abundant number, since it is smaller than the sum of its proper divisors (33593562).

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

16979688 is a wasteful number, since it uses less digits than its factorization.

16979688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1965 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 16979688 is about 4120.6416976000. The cubic root of 16979688 is about 257.0257106609.

The spelling of 16979688 in words is "sixteen million, nine hundred seventy-nine thousand, six hundred eighty-eight".