84243864 has 64 divisors (see below), whose sum is σ = 218880000. Its totient is φ = 26991360.

The previous prime is 84243851. The next prime is 84243877. The reversal of 84243864 is 46834248.

It is an interprime number because it is at equal distance from previous prime (84243851) and next prime (84243877).

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 15 ways as a sum of consecutive naturals, for example, 147772 + ... + 148340.

It is an arithmetic number, because the mean of its divisors is an integer number (3420000).

Almost surely, 2^84243864 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 84243864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440000).

84243864 is an abundant number, since it is smaller than the sum of its proper divisors (134636136).

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

84243864 is a wasteful number, since it uses less digits than its factorization.

84243864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 84243864 is about 9178.4456200383. The cubic root of 84243864 is about 438.3753168434.

The spelling of 84243864 in words is "eighty-four million, two hundred forty-three thousand, eight hundred sixty-four".