16938900 has 216 divisors, whose sum is σ = 60933600. Its totient is φ = 3897600.

The previous prime is 16938893. The next prime is 16938917. The reversal of 16938900 is 983961.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287071 + ... + 287129.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 2^16938900 is an apocalyptic number.

16938900 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 16938900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

16938900 is an abundant number, since it is smaller than the sum of its proper divisors (43994700).

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

16938900 is a wasteful number, since it uses less digits than its factorization.

16938900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 16938900 is about 4115.6894926610. The cubic root of 16938900 is about 256.8197396536.

The spelling of 16938900 in words is "sixteen million, nine hundred thirty-eight thousand, nine hundred".