16379968 has 56 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 7288320.

The previous prime is 16379963. The next prime is 16379989. The reversal of 16379968 is 86997361.

It is not an unprimeable number, because it can be changed into a prime (16379963) 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 7 ways as a sum of consecutive naturals, for example, 37093 + ... + 37531.

Almost surely, 2^16379968 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 16379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105120).

16379968 is an abundant number, since it is smaller than the sum of its proper divisors (19830272).

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

16379968 is a wasteful number, since it uses less digits than its factorization.

16379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 16379968 is about 4047.2173156380. The cubic root of 16379968 is about 253.9633319668.

The spelling of 16379968 in words is "sixteen million, three hundred seventy-nine thousand, nine hundred sixty-eight".