16207968 has 96 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 4561920.

The previous prime is 16207967. The next prime is 16207979. The reversal of 16207968 is 86970261.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16207963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59673 + ... + 59943.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^16207968 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 16207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

16207968 is an abundant number, since it is smaller than the sum of its proper divisors (33143712).

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

16207968 is a wasteful number, since it uses less digits than its factorization.

16207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 16207968 is about 4025.9120705748. The cubic root of 16207968 is about 253.0712771828.

The spelling of 16207968 in words is "sixteen million, two hundred seven thousand, nine hundred sixty-eight".