84217600 has 54 divisors (see below), whose sum is σ = 208467560. Its totient is φ = 33684480.

The previous prime is 84217591. The next prime is 84217621. The reversal of 84217600 is 671248.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180 + ... + 12979.

Almost surely, 2^84217600 is an apocalyptic number.

84217600 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 84217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104233780).

84217600 is an abundant number, since it is smaller than the sum of its proper divisors (124249960).

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

84217600 is a wasteful number, since it uses less digits than its factorization.

84217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13185 (or 13166 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 84217600 is about 9177.0147651619. The cubic root of 84217600 is about 438.3297559148.

Adding to 84217600 its reverse (671248), we get a palindrome (84888848).

The spelling of 84217600 in words is "eighty-four million, two hundred seventeen thousand, six hundred".