8116400 has 60 divisors (see below), whose sum is σ = 19788912. Its totient is φ = 3198720.

The previous prime is 8116399. The next prime is 8116411. The reversal of 8116400 is 46118.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 41102 + ... + 41298.

Almost surely, 2^8116400 is an apocalyptic number.

8116400 is a gapful number since it is divisible by the number (80) 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 8116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894456).

8116400 is an abundant number, since it is smaller than the sum of its proper divisors (11672512).

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

8116400 is a wasteful number, since it uses less digits than its factorization.

8116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8116400 is about 2848.9296235604. The cubic root of 8116400 is about 200.9653331631.

The spelling of 8116400 in words is "eight million, one hundred sixteen thousand, four hundred".