16993800 has 120 divisors (see below), whose sum is σ = 59078250. Its totient is φ = 4527360.

The previous prime is 16993799. The next prime is 16993817. The reversal of 16993800 is 839961.

It can be written as a sum of positive squares in 3 ways, for example, as 15539364 + 1454436 = 3942^2 + 1206^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15676 + ... + 16724.

Almost surely, 2^16993800 is an apocalyptic number.

16993800 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 16993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29539125).

16993800 is an abundant number, since it is smaller than the sum of its proper divisors (42084450).

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

16993800 is a wasteful number, since it uses less digits than its factorization.

16993800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1059 counting only the distinct ones).

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

The square root of 16993800 is about 4122.3536966156. The cubic root of 16993800 is about 257.0968965476.

The spelling of 16993800 in words is "sixteen million, nine hundred ninety-three thousand, eight hundred".