84739200 has 384 divisors, whose sum is σ = 347061120. Its totient is φ = 17694720.

The previous prime is 84739181. The next prime is 84739201. The reversal of 84739200 is 293748.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (84739201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873552 + ... + 873648.

It is an arithmetic number, because the mean of its divisors is an integer number (903805).

Almost surely, 2^84739200 is an apocalyptic number.

84739200 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 84739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173530560).

84739200 is an abundant number, since it is smaller than the sum of its proper divisors (262321920).

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

84739200 is a wasteful number, since it uses less digits than its factorization.

84739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

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

The square root of 84739200 is about 9205.3897255901. The cubic root of 84739200 is about 439.2328229191.

The spelling of 84739200 in words is "eighty-four million, seven hundred thirty-nine thousand, two hundred".