84863688 has 192 divisors, whose sum is σ = 272304000. Its totient is φ = 22014720.

The previous prime is 84863683. The next prime is 84863689. The reversal of 84863688 is 88636848.

It is a super-2 number, since 2×84863688² = 14403691081922688, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84863688.

It is not an unprimeable number, because it can be changed into a prime (84863683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391178 + ... + 1391238.

It is an arithmetic number, because the mean of its divisors is an integer number (1418250).

Almost surely, 2^84863688 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 84863688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152000).

84863688 is an abundant number, since it is smaller than the sum of its proper divisors (187440312).

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

84863688 is a wasteful number, since it uses less digits than its factorization.

84863688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 84863688 is about 9212.1489349663. The cubic root of 84863688 is about 439.4478059163.

The spelling of 84863688 in words is "eighty-four million, eight hundred sixty-three thousand, six hundred eighty-eight".