84916224 has 144 divisors (see below), whose sum is σ = 260638560. Its totient is φ = 26542080.

The previous prime is 84916219. The next prime is 84916283. The reversal of 84916224 is 42261948.

It is a Cunningham number, because it is equal to 9215²-1.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

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, 313209 + ... + 313479.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 2^84916224 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 84916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

84916224 is an abundant number, since it is smaller than the sum of its proper divisors (175722336).

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

84916224 is a wasteful number, since it uses less digits than its factorization.

84916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 84916224 is about 9214.9999457406. Note that the first 4 decimals coincide. The cubic root of 84916224 is about 439.5384692222.

The spelling of 84916224 in words is "eighty-four million, nine hundred sixteen thousand, two hundred twenty-four".