16401168 has 120 divisors (see below), whose sum is σ = 53621568. Its totient is φ = 4582656.

The previous prime is 16401163. The next prime is 16401169. The reversal of 16401168 is 86110461.

16401168 is a `hidden beast` number, since 1 + 640 + 1 + 16 + 8 = 666.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16401163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53271 + ... + 53577.

Almost surely, 2^16401168 is an apocalyptic number.

16401168 is a gapful number since it is divisible by the number (18) 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 16401168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

16401168 is an abundant number, since it is smaller than the sum of its proper divisors (37220400).

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

16401168 is a wasteful number, since it uses less digits than its factorization.

16401168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 16401168 is about 4049.8355522169. The cubic root of 16401168 is about 254.0728499163.

The spelling of 16401168 in words is "sixteen million, four hundred one thousand, one hundred sixty-eight".