16930080 has 96 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 4513536.

The previous prime is 16930073. The next prime is 16930103. The reversal of 16930080 is 8003961.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 2361 + ... + 6279.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 2^16930080 is an apocalyptic number.

16930080 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 16930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

16930080 is an abundant number, since it is smaller than the sum of its proper divisors (42340320).

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

16930080 is a wasteful number, since it uses less digits than its factorization.

16930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16930080 is about 4114.6178437371. The cubic root of 16930080 is about 256.7751569993.

The spelling of 16930080 in words is "sixteen million, nine hundred thirty thousand, eighty".