84765688 has 72 divisors (see below), whose sum is σ = 195453000. Its totient is φ = 34358688.

The previous prime is 84765683. The next prime is 84765691. The reversal of 84765688 is 88656748.

It is a super-2 number, since 2×84765688² = 14370443724226688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84765683) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141213 + ... + 141811.

It is an arithmetic number, because the mean of its divisors is an integer number (2714625).

Almost surely, 2^84765688 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 84765688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97726500).

84765688 is an abundant number, since it is smaller than the sum of its proper divisors (110687312).

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

84765688 is a wasteful number, since it uses less digits than its factorization.

84765688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 627 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 84765688 is about 9206.8283355344. The cubic root of 84765688 is about 439.2785836650.

The spelling of 84765688 in words is "eighty-four million, seven hundred sixty-five thousand, six hundred eighty-eight".