16938768 has 80 divisors (see below), whose sum is σ = 54567936. Its totient is φ = 4398720.

The previous prime is 16938751. The next prime is 16938769. The reversal of 16938768 is 86783961.

It is a super-2 number, since 2×16938768² = 573843722715648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16938769) 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, 1405 + ... + 5987.

Almost surely, 2^16938768 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 16938768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283968).

16938768 is an abundant number, since it is smaller than the sum of its proper divisors (37629168).

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

16938768 is a wasteful number, since it uses less digits than its factorization.

16938768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4606 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 16938768 is about 4115.6734564346. The cubic root of 16938768 is about 256.8190725443.

The spelling of 16938768 in words is "sixteen million, nine hundred thirty-eight thousand, seven hundred sixty-eight".