16905966 has 128 divisors (see below), whose sum is σ = 46227456. Its totient is φ = 3991680.

The previous prime is 16905961. The next prime is 16905971. The reversal of 16905966 is 66950961.

It is an interprime number because it is at equal distance from previous prime (16905961) and next prime (16905971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16905961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393141 + ... + 393183.

It is an arithmetic number, because the mean of its divisors is an integer number (361152).

Almost surely, 2^16905966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16905966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113728).

16905966 is an abundant number, since it is smaller than the sum of its proper divisors (29321490).

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

16905966 is a wasteful number, since it uses less digits than its factorization.

16905966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 16905966 is about 4111.6865152879. The cubic root of 16905966 is about 256.6531883254.

It can be divided in two parts, 16905 and 966, that added together give a palindrome (17871).

The spelling of 16905966 in words is "sixteen million, nine hundred five thousand, nine hundred sixty-six".