84833280 has 264 divisors, whose sum is σ = 337214592. Its totient is φ = 19316736.

The previous prime is 84833263. The next prime is 84833293. The reversal of 84833280 is 8233848.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322429 + ... + 322691.

It is an arithmetic number, because the mean of its divisors is an integer number (1277328).

Almost surely, 2^84833280 is an apocalyptic number.

84833280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168607296).

84833280 is an abundant number, since it is smaller than the sum of its proper divisors (252381312).

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

84833280 is a wasteful number, since it uses less digits than its factorization.

84833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84833280 is about 9210.4983578523. The cubic root of 84833280 is about 439.3953126158.

The spelling of 84833280 in words is "eighty-four million, eight hundred thirty-three thousand, two hundred eighty".