16116400 has 60 divisors (see below), whose sum is σ = 39662392. Its totient is φ = 6289920.

The previous prime is 16116379. The next prime is 16116407. The reversal of 16116400 is 461161.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16116407) 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, 16732 + ... + 17668.

Almost surely, 2^16116400 is an apocalyptic number.

16116400 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 16116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831196).

16116400 is an abundant number, since it is smaller than the sum of its proper divisors (23545992).

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

16116400 is a wasteful number, since it uses less digits than its factorization.

16116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 16116400 is about 4014.5236330105. The cubic root of 16116400 is about 252.5937958237.

Adding to 16116400 its reverse (461161), we get a palindrome (16577561).

It can be divided in two parts, 161 and 16400, that added together give a palindrome (16561).

The spelling of 16116400 in words is "sixteen million, one hundred sixteen thousand, four hundred".