16878400 has 168 divisors, whose sum is σ = 52157376. Its totient is φ = 5222400.

The previous prime is 16878397. The next prime is 16878409. The reversal of 16878400 is 487861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16878409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123132 + ... + 123268.

Almost surely, 2^16878400 is an apocalyptic number.

16878400 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 16878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078688).

16878400 is an abundant number, since it is smaller than the sum of its proper divisors (35278976).

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

16878400 is a wasteful number, since it uses less digits than its factorization.

16878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 16878400 is about 4108.3329952671. The cubic root of 16878400 is about 256.5136172691.

The spelling of 16878400 in words is "sixteen million, eight hundred seventy-eight thousand, four hundred".