8198400 has 216 divisors, whose sum is σ = 31428544. Its totient is φ = 1843200.

The previous prime is 8198389. The next prime is 8198459. The reversal of 8198400 is 48918.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134370 + ... + 134430.

Almost surely, 2^8198400 is an apocalyptic number.

8198400 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 8198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714272).

8198400 is an abundant number, since it is smaller than the sum of its proper divisors (23230144).

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

8198400 is a wasteful number, since it uses less digits than its factorization.

8198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8198400 is about 2863.2848269077. The cubic root of 8198400 is about 201.6398510285.

The spelling of 8198400 in words is "eight million, one hundred ninety-eight thousand, four hundred".