16979040 has 144 divisors (see below), whose sum is σ = 62466768. Its totient is φ = 4174848.

The previous prime is 16979033. The next prime is 16979051. The reversal of 16979040 is 4097961.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 16978986 and 16979004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18267 + ... + 19173.

It is an arithmetic number, because the mean of its divisors is an integer number (433797).

Almost surely, 2^16979040 is an apocalyptic number.

16979040 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 16979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31233384).

16979040 is an abundant number, since it is smaller than the sum of its proper divisors (45487728).

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

16979040 is a wasteful number, since it uses less digits than its factorization.

16979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 16979040 is about 4120.5630683197. The cubic root of 16979040 is about 257.0224409742.

The spelling of 16979040 in words is "sixteen million, nine hundred seventy-nine thousand, forty".