16801968 has 40 divisors (see below), whose sum is σ = 43648000. Its totient is φ = 5569344.

The previous prime is 16801963. The next prime is 16801979. The reversal of 16801968 is 86910861.

It is a super-2 number, since 2×16801968² = 564612257346048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16801963) 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, 8673 + ... + 10431.

It is an arithmetic number, because the mean of its divisors is an integer number (1091200).

Almost surely, 2^16801968 is an apocalyptic number.

It is an amenable number.

16801968 is an abundant number, since it is smaller than the sum of its proper divisors (26846032).

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

16801968 is a wasteful number, since it uses less digits than its factorization.

16801968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 16801968 is about 4099.0203707715. The cubic root of 16801968 is about 256.1258333205.

The spelling of 16801968 in words is "sixteen million, eight hundred one thousand, nine hundred sixty-eight".