84371160 has 128 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 21600768.

The previous prime is 84371143. The next prime is 84371167. The reversal of 84371160 is 6117348.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84371167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428182 + ... + 428378.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^84371160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84371160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

84371160 is an abundant number, since it is smaller than the sum of its proper divisors (179079720).

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

84371160 is a wasteful number, since it uses less digits than its factorization.

84371160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 84371160 is about 9185.3775099339. The cubic root of 84371160 is about 438.5960068662.

The spelling of 84371160 in words is "eighty-four million, three hundred seventy-one thousand, one hundred sixty".