84196800 has 168 divisors, whose sum is σ = 307086000. Its totient is φ = 22440960.

The previous prime is 84196789. The next prime is 84196843. The reversal of 84196800 is 869148.

It is a happy number.

It is a super-2 number, since 2×84196800² = 14178202260480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42226 + ... + 44174.

Almost surely, 2^84196800 is an apocalyptic number.

84196800 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 84196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153543000).

84196800 is an abundant number, since it is smaller than the sum of its proper divisors (222889200).

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

84196800 is a wasteful number, since it uses less digits than its factorization.

84196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 84196800 is about 9175.8814290508. The cubic root of 84196800 is about 438.2936668249.

The spelling of 84196800 in words is "eighty-four million, one hundred ninety-six thousand, eight hundred".