84279312 has 160 divisors (see below), whose sum is σ = 267344000. Its totient is φ = 25256448.

The previous prime is 84279311. The next prime is 84279331. The reversal of 84279312 is 21397248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84279311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241314 + ... + 241662.

It is an arithmetic number, because the mean of its divisors is an integer number (1670900).

Almost surely, 2^84279312 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 84279312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133672000).

84279312 is an abundant number, since it is smaller than the sum of its proper divisors (183064688).

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

84279312 is a wasteful number, since it uses less digits than its factorization.

84279312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 84279312 is about 9180.3764628690. The cubic root of 84279312 is about 438.4367945124.

The spelling of 84279312 in words is "eighty-four million, two hundred seventy-nine thousand, three hundred twelve".