16432800 has 144 divisors (see below), whose sum is σ = 55121472. Its totient is φ = 4249600.

The previous prime is 16432781. The next prime is 16432807. The reversal of 16432800 is 823461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16432807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98317 + ... + 98483.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 2^16432800 is an apocalyptic number.

16432800 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 16432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

16432800 is an abundant number, since it is smaller than the sum of its proper divisors (38688672).

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

16432800 is a wasteful number, since it uses less digits than its factorization.

16432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 16432800 is about 4053.7390147862. The cubic root of 16432800 is about 254.2360836402.

The spelling of 16432800 in words is "sixteen million, four hundred thirty-two thousand, eight hundred".