16979400 has 72 divisors (see below), whose sum is σ = 57028530. Its totient is φ = 4527360.

The previous prime is 16979387. The next prime is 16979401. The reversal of 16979400 is 497961.

It can be written as a sum of positive squares in 3 ways, for example, as 13972644 + 3006756 = 3738^2 + 1734^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (16979401) 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, 2917 + ... + 6516.

Almost surely, 2^16979400 is an apocalyptic number.

16979400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16979400 is an abundant number, since it is smaller than the sum of its proper divisors (40049130).

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

16979400 is a wasteful number, since it uses less digits than its factorization.

16979400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455 (or 9443 counting only the distinct ones).

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

The square root of 16979400 is about 4120.6067514384. The cubic root of 16979400 is about 257.0242574771.

The spelling of 16979400 in words is "sixteen million, nine hundred seventy-nine thousand, four hundred".