16938720 has 120 divisors (see below), whose sum is σ = 59825304. Its totient is φ = 4513536.

The previous prime is 16938707. The next prime is 16938743. The reversal of 16938720 is 2783961.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12307 + ... + 13613.

Almost surely, 2^16938720 is an apocalyptic number.

16938720 is a gapful number since it is divisible by the number (10) 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 16938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29912652).

16938720 is an abundant number, since it is smaller than the sum of its proper divisors (42886584).

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

16938720 is a wasteful number, since it uses less digits than its factorization.

16938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16938720 is about 4115.6676250640. The cubic root of 16938720 is about 256.8188299582.

The spelling of 16938720 in words is "sixteen million, nine hundred thirty-eight thousand, seven hundred twenty".