16968096 has 96 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 5506560.

The previous prime is 16968079. The next prime is 16968131. The reversal of 16968096 is 69086961.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×16968096³ (a number of 23 digits) contains 333 as substring.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35185 + ... + 35663.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^16968096 is an apocalyptic number.

16968096 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 16968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

16968096 is an abundant number, since it is smaller than the sum of its proper divisors (33835104).

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

16968096 is a wasteful number, since it uses less digits than its factorization.

16968096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 525 counting only the distinct ones).

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

The square root of 16968096 is about 4119.2348804117. The cubic root of 16968096 is about 256.9672070277.

It can be divided in two parts, 169 and 68096, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 16968096 in words is "sixteen million, nine hundred sixty-eight thousand, ninety-six".