16646920 has 32 divisors (see below), whose sum is σ = 37975320. Its totient is φ = 6566400.

The previous prime is 16646911. The next prime is 16646923. The reversal of 16646920 is 2964661.

It can be written as a sum of positive squares in 4 ways, for example, as 15729156 + 917764 = 3966^2 + 958^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16646923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 5770.

Almost surely, 2^16646920 is an apocalyptic number.

16646920 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 16646920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987660).

16646920 is an abundant number, since it is smaller than the sum of its proper divisors (21328400).

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

16646920 is a wasteful number, since it uses less digits than its factorization.

16646920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 16646920 is about 4080.0637249925. The cubic root of 16646920 is about 255.3355572177.

The spelling of 16646920 in words is "sixteen million, six hundred forty-six thousand, nine hundred twenty".