84259344 has 160 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 23881728.

The previous prime is 84259339. The next prime is 84259369. The reversal of 84259344 is 44395248.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792729 + ... + 1792775.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2^84259344 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 84259344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

84259344 is an abundant number, since it is smaller than the sum of its proper divisors (170724336).

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

84259344 is a wasteful number, since it uses less digits than its factorization.

84259344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 84259344 is about 9179.2888613443. The cubic root of 84259344 is about 438.4021660166.

The spelling of 84259344 in words is "eighty-four million, two hundred fifty-nine thousand, three hundred forty-four".