16938120 has 192 divisors, whose sum is σ = 59253120. Its totient is φ = 3852288.

The previous prime is 16938109. The next prime is 16938127. The reversal of 16938120 is 2183961.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16938127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736429 + ... + 736451.

It is an arithmetic number, because the mean of its divisors is an integer number (308610).

Almost surely, 2^16938120 is an apocalyptic number.

16938120 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 16938120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

16938120 is an abundant number, since it is smaller than the sum of its proper divisors (42315000).

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

16938120 is a wasteful number, since it uses less digits than its factorization.

16938120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 16938120 is about 4115.5947322349. The cubic root of 16938120 is about 256.8157975938.

The spelling of 16938120 in words is "sixteen million, nine hundred thirty-eight thousand, one hundred twenty".