16906896 has 60 divisors (see below), whose sum is σ = 47716812. Its totient is φ = 5587968.

The previous prime is 16906867. The next prime is 16906907. The reversal of 16906896 is 69860961.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 3686400 = 3636^2 + 1920^2 .

It is a super-3 number, since 3×16906896³ (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19300 + ... + 20156.

Almost surely, 2^16906896 is an apocalyptic number.

16906896 is a gapful number since it is divisible by the number (16) 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 16906896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858406).

16906896 is an abundant number, since it is smaller than the sum of its proper divisors (30809916).

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

16906896 is a wasteful number, since it uses less digits than its factorization.

16906896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

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

The square root of 16906896 is about 4111.7996060119. The cubic root of 16906896 is about 256.6578944173.

The spelling of 16906896 in words is "sixteen million, nine hundred six thousand, eight hundred ninety-six".