86630368 has 96 divisors (see below), whose sum is σ = 203793408. Its totient is φ = 35788800.

The previous prime is 86630363. The next prime is 86630377. The reversal of 86630368 is 86303668.

It is a self number, because there is not a number n which added to its sum of digits gives 86630368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86630363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185271 + ... + 185737.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2^86630368 is an apocalyptic number.

86630368 is a gapful number since it is divisible by the number (88) 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 86630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101896704).

86630368 is an abundant number, since it is smaller than the sum of its proper divisors (117163040).

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

86630368 is a wasteful number, since it uses less digits than its factorization.

86630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 86630368 is about 9307.5436072038. The cubic root of 86630368 is about 442.4763399311.

The spelling of 86630368 in words is "eighty-six million, six hundred thirty thousand, three hundred sixty-eight".