16426800 has 270 divisors, whose sum is σ = 64014132. Its totient is φ = 4043520.

The previous prime is 16426799. The next prime is 16426831. The reversal of 16426800 is 862461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1263594 + ... + 1263606.

Almost surely, 2^16426800 is an apocalyptic number.

16426800 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 16426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32007066).

16426800 is an abundant number, since it is smaller than the sum of its proper divisors (47587332).

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

16426800 is a wasteful number, since it uses less digits than its factorization.

16426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16426800 is about 4052.9988897112. The cubic root of 16426800 is about 254.2051373581.

Multiplying 16426800 by its sum of digits (27), we get a square (443523600 = 21060²).

16426800 divided by its sum of digits (27) gives a square (608400 = 780²).

The spelling of 16426800 in words is "sixteen million, four hundred twenty-six thousand, eight hundred".