16688980 has 48 divisors (see below), whose sum is σ = 43698816. Its totient is φ = 5201280.

The previous prime is 16688977. The next prime is 16688983. The reversal of 16688980 is 8988661.

It is an interprime number because it is at equal distance from previous prime (16688977) and next prime (16688983).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 16688980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16688983) 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, 3879 + ... + 6958.

It is an arithmetic number, because the mean of its divisors is an integer number (910392).

Almost surely, 2^16688980 is an apocalyptic number.

16688980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16688980 is an abundant number, since it is smaller than the sum of its proper divisors (27009836).

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

16688980 is a wasteful number, since it uses less digits than its factorization.

16688980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 16688980 is about 4085.2148046339. The cubic root of 16688980 is about 255.5504194165.

It can be divided in two parts, 1668 and 8980, that added together give a cube (10648 = 22³).

The spelling of 16688980 in words is "sixteen million, six hundred eighty-eight thousand, nine hundred eighty".