16890400 has 72 divisors (see below), whose sum is σ = 42278544. Its totient is φ = 6585600.

The previous prime is 16890397. The next prime is 16890409. The reversal of 16890400 is 409861.

It is a super-2 number, since 2×16890400² = 570571224320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16890409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34155 + ... + 34645.

It is an arithmetic number, because the mean of its divisors is an integer number (587202).

Almost surely, 2^16890400 is an apocalyptic number.

16890400 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 16890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139272).

16890400 is an abundant number, since it is smaller than the sum of its proper divisors (25388144).

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

16890400 is a wasteful number, since it uses less digits than its factorization.

16890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 16890400 is about 4109.7931821443. The cubic root of 16890400 is about 256.5743938475.

The spelling of 16890400 in words is "sixteen million, eight hundred ninety thousand, four hundred".