16964000 has 48 divisors (see below), whose sum is σ = 41690376. Its totient is φ = 6784000.

The previous prime is 16963993. The next prime is 16964021. The reversal of 16964000 is 46961.

It can be written as a sum of positive squares in 4 ways, for example, as 10471696 + 6492304 = 3236^2 + 2548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1880 + ... + 6120.

Almost surely, 2^16964000 is an apocalyptic number.

16964000 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 16964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845188).

16964000 is an abundant number, since it is smaller than the sum of its proper divisors (24726376).

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

16964000 is an equidigital number, since it uses as much as digits as its factorization.

16964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 16964000 is about 4118.7376706947. The cubic root of 16964000 is about 256.9465285657.

The spelling of 16964000 in words is "sixteen million, nine hundred sixty-four thousand".