84991200 has 144 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 19422720.

The previous prime is 84991157. The next prime is 84991213. The reversal of 84991200 is 219948.

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, 14271 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (2196040).

Almost surely, 2^84991200 is an apocalyptic number.

84991200 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 84991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

84991200 is an abundant number, since it is smaller than the sum of its proper divisors (231238560).

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

84991200 is a wasteful number, since it uses less digits than its factorization.

84991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 84991200 is about 9219.0671979328. The cubic root of 84991200 is about 439.6677933192.

The spelling of 84991200 in words is "eighty-four million, nine hundred ninety-one thousand, two hundred".