16960000 has 100 divisors (see below), whose sum is σ = 43144002. Its totient is φ = 6656000.

The previous prime is 16959991. The next prime is 16960037. The reversal of 16960000 is 6961.

It can be written as a sum of positive squares in 5 ways, for example, as 831744 + 16128256 = 912^2 + 4016^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319974 + ... + 320026.

Almost surely, 2^16960000 is an apocalyptic number.

16960000 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 16960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21572001).

16960000 is an abundant number, since it is smaller than the sum of its proper divisors (26184002).

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

16960000 is an frugal number, since it uses more digits than its factorization.

16960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 16960000 is about 4118.2520563948. The cubic root of 16960000 is about 256.9263315425.

Adding to 16960000 its reverse (6961), we get a palindrome (16966961).

The spelling of 16960000 in words is "sixteen million, nine hundred sixty thousand".