84279104 has 112 divisors (see below), whose sum is σ = 213360000. Its totient is φ = 32126976.

The previous prime is 84279101. The next prime is 84279109. The reversal of 84279104 is 40197248.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84279101) 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 15 ways as a sum of consecutive naturals, for example, 168647 + ... + 169145.

It is an arithmetic number, because the mean of its divisors is an integer number (1905000).

Almost surely, 2^84279104 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 84279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680000).

84279104 is an abundant number, since it is smaller than the sum of its proper divisors (129080896).

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

84279104 is a wasteful number, since it uses less digits than its factorization.

84279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 84279104 is about 9180.3651343506. The cubic root of 84279104 is about 438.4364338271.

The spelling of 84279104 in words is "eighty-four million, two hundred seventy-nine thousand, one hundred four".