16542400 has 126 divisors (see below), whose sum is σ = 47574708. Its totient is φ = 5644800.

The previous prime is 16542397. The next prime is 16542403. The reversal of 16542400 is 424561.

16542400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16542397) and next prime (16542403).

It is not an unprimeable number, because it can be changed into a prime (16542403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78295 + ... + 78505.

Almost surely, 2^16542400 is an apocalyptic number.

16542400 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 16542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23787354).

16542400 is an abundant number, since it is smaller than the sum of its proper divisors (31032308).

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

16542400 is a wasteful number, since it uses less digits than its factorization.

16542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 16542400 is about 4067.2349329735. The cubic root of 16542400 is about 254.8000483033.

Adding to 16542400 its reverse (424561), we get a palindrome (16966961).

The spelling of 16542400 in words is "sixteen million, five hundred forty-two thousand, four hundred".