84973200 has 180 divisors, whose sum is σ = 295449840. Its totient is φ = 20866560.

The previous prime is 84973193. The next prime is 84973211. The reversal of 84973200 is 237948.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202591 + ... + 203009.

It is an arithmetic number, because the mean of its divisors is an integer number (1641388).

Almost surely, 2^84973200 is an apocalyptic number.

84973200 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 84973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147724920).

84973200 is an abundant number, since it is smaller than the sum of its proper divisors (210476640).

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

84973200 is a wasteful number, since it uses less digits than its factorization.

84973200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 84973200 is about 9218.0909086426. The cubic root of 84973200 is about 439.6367525407.

The spelling of 84973200 in words is "eighty-four million, nine hundred seventy-three thousand, two hundred".