86592768 has 72 divisors (see below), whose sum is σ = 232427328. Its totient is φ = 28618752.

The previous prime is 86592763. The next prime is 86592829. The reversal of 86592768 is 86729568.

It is a self number, because there is not a number n which added to its sum of digits gives 86592768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86592763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104805 + ... + 105627.

Almost surely, 2^86592768 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 86592768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116213664).

86592768 is an abundant number, since it is smaller than the sum of its proper divisors (145834560).

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

86592768 is a wasteful number, since it uses less digits than its factorization.

86592768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 86592768 is about 9305.5235210062. The cubic root of 86592768 is about 442.4123149695.

The spelling of 86592768 in words is "eighty-six million, five hundred ninety-two thousand, seven hundred sixty-eight".