84201360 has 80 divisors (see below), whose sum is σ = 264387840. Its totient is φ = 22164480.

The previous prime is 84201343. The next prime is 84201361. The reversal of 84201360 is 6310248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 84201360.

It is not an unprimeable number, because it can be changed into a prime (84201361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16740 + ... + 21180.

It is an arithmetic number, because the mean of its divisors is an integer number (3304848).

Almost surely, 2^84201360 is an apocalyptic number.

84201360 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 84201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132193920).

84201360 is an abundant number, since it is smaller than the sum of its proper divisors (180186480).

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

84201360 is a wasteful number, since it uses less digits than its factorization.

84201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 84201360 is about 9176.1299031781. The cubic root of 84201360 is about 438.3015791724.

The spelling of 84201360 in words is "eighty-four million, two hundred one thousand, three hundred sixty".