84533280 has 384 divisors, whose sum is σ = 325140480. Its totient is φ = 18247680.

The previous prime is 84533243. The next prime is 84533321. The reversal of 84533280 is 8233548.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2726865 + ... + 2726895.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^84533280 is an apocalyptic number.

84533280 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 84533280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

84533280 is an abundant number, since it is smaller than the sum of its proper divisors (240607200).

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

84533280 is a wasteful number, since it uses less digits than its factorization.

84533280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 84533280 is about 9194.1981705856. The cubic root of 84533280 is about 438.8767492829.

The spelling of 84533280 in words is "eighty-four million, five hundred thirty-three thousand, two hundred eighty".