84271200 has 288 divisors, whose sum is σ = 307542816. Its totient is φ = 19906560.

The previous prime is 84271199. The next prime is 84271211. The reversal of 84271200 is 217248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1154364 + ... + 1154436.

It is an arithmetic number, because the mean of its divisors is an integer number (1067857).

Almost surely, 2^84271200 is an apocalyptic number.

84271200 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 84271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153771408).

84271200 is an abundant number, since it is smaller than the sum of its proper divisors (223271616).

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

84271200 is a wasteful number, since it uses less digits than its factorization.

84271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 84271200 is about 9179.9346402902. The cubic root of 84271200 is about 438.4227273457.

Adding to 84271200 its reverse (217248), we get a palindrome (84488448).

It can be divided in two parts, 8427 and 1200, that multiplied together give a square (10112400 = 3180²).

The spelling of 84271200 in words is "eighty-four million, two hundred seventy-one thousand, two hundred".