16966890 has 48 divisors (see below), whose sum is σ = 44958888. Its totient is φ = 4437888.

The previous prime is 16966877. The next prime is 16966903. The reversal of 16966890 is 9866961.

It is an interprime number because it is at equal distance from previous prime (16966877) and next prime (16966903).

It can be written as a sum of positive squares in 4 ways, for example, as 12131289 + 4835601 = 3483^2 + 2199^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2992 + ... + 6548.

Almost surely, 2^16966890 is an apocalyptic number.

16966890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16966890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22479444).

16966890 is an abundant number, since it is smaller than the sum of its proper divisors (27991998).

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

16966890 is a wasteful number, since it uses less digits than its factorization.

16966890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 16966890 is about 4119.0884914020. The cubic root of 16966890 is about 256.9611189395.

The spelling of 16966890 in words is "sixteen million, nine hundred sixty-six thousand, eight hundred ninety".