84380256 has 72 divisors (see below), whose sum is σ = 248255280. Its totient is φ = 27154176.

The previous prime is 84380249. The next prime is 84380267. The reversal of 84380256 is 65208348.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 84380256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3301 + ... + 13403.

It is an arithmetic number, because the mean of its divisors is an integer number (3447990).

Almost surely, 2^84380256 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 84380256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124127640).

84380256 is an abundant number, since it is smaller than the sum of its proper divisors (163875024).

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

84380256 is a wasteful number, since it uses less digits than its factorization.

84380256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84380256 is about 9185.8726313835. The cubic root of 84380256 is about 438.6117678834.

The spelling of 84380256 in words is "eighty-four million, three hundred eighty thousand, two hundred fifty-six".