84198400 has 264 divisors, whose sum is σ = 255858624. Its totient is φ = 27033600.

The previous prime is 84198383. The next prime is 84198427. The reversal of 84198400 is 489148.

It is a congruent number.

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, 3660789 + ... + 3660811.

Almost surely, 2^84198400 is an apocalyptic number.

84198400 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 84198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127929312).

84198400 is an abundant number, since it is smaller than the sum of its proper divisors (171660224).

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

84198400 is a wasteful number, since it uses less digits than its factorization.

84198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 84198400 is about 9175.9686137214. The cubic root of 84198400 is about 438.2964431197.

The spelling of 84198400 in words is "eighty-four million, one hundred ninety-eight thousand, four hundred".