84880224 has 240 divisors, whose sum is σ = 294552720. Its totient is φ = 23639040.

The previous prime is 84880193. The next prime is 84880231. The reversal of 84880224 is 42208848.

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 39 ways as a sum of consecutive naturals, for example, 370542 + ... + 370770.

It is an arithmetic number, because the mean of its divisors is an integer number (1227303).

Almost surely, 2^84880224 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 84880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147276360).

84880224 is an abundant number, since it is smaller than the sum of its proper divisors (209672496).

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

84880224 is a wasteful number, since it uses less digits than its factorization.

84880224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84880224 is about 9213.0464017067. The cubic root of 84880224 is about 439.4763467334.

The spelling of 84880224 in words is "eighty-four million, eight hundred eighty thousand, two hundred twenty-four".