84364200 has 192 divisors, whose sum is σ = 308016000. Its totient is φ = 21150720.

The previous prime is 84364193. The next prime is 84364211. The reversal of 84364200 is 246348.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91341 + ... + 92259.

It is an arithmetic number, because the mean of its divisors is an integer number (1604250).

Almost surely, 2^84364200 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 84364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154008000).

84364200 is an abundant number, since it is smaller than the sum of its proper divisors (223651800).

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

84364200 is a wasteful number, since it uses less digits than its factorization.

84364200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84364200 is about 9184.9986390854. The cubic root of 84364200 is about 438.5839462199.

The spelling of 84364200 in words is "eighty-four million, three hundred sixty-four thousand, two hundred".