16165968 has 80 divisors (see below), whose sum is σ = 51413376. Its totient is φ = 4262400.

The previous prime is 16165967. The next prime is 16165969. The reversal of 16165968 is 86956161.

It is a happy number.

16165968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16165967) and next prime (16165969).

It is a super-2 number, since 2×16165968² = 522677042754048, which contains 22 as substring.

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 (16165967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2518 + ... + 6218.

Almost surely, 2^16165968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16165968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25706688).

16165968 is an abundant number, since it is smaller than the sum of its proper divisors (35247408).

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

16165968 is a wasteful number, since it uses less digits than its factorization.

16165968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3726 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 16165968 is about 4020.6924776710. The cubic root of 16165968 is about 252.8524920372.

The spelling of 16165968 in words is "sixteen million, one hundred sixty-five thousand, nine hundred sixty-eight".