84196200 has 96 divisors (see below), whose sum is σ = 284758560. Its totient is φ = 20409600.

The previous prime is 84196141. The next prime is 84196207. The reversal of 84196200 is 269148.

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

It is not an unprimeable number, because it can be changed into a prime (84196207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (2966235).

Almost surely, 2^84196200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84196200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142379280).

84196200 is an abundant number, since it is smaller than the sum of its proper divisors (200562360).

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

84196200 is a wasteful number, since it uses less digits than its factorization.

84196200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12787 (or 12778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 84196200 is about 9175.8487345858. The cubic root of 84196200 is about 438.2926257052.

The spelling of 84196200 in words is "eighty-four million, one hundred ninety-six thousand, two hundred".