86302368 has 96 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 28263168.

The previous prime is 86302367. The next prime is 86302369. The reversal of 86302368 is 86320368.

It is an interprime number because it is at equal distance from previous prime (86302367) and next prime (86302369).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86302367) 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, 50130 + ... + 51822.

It is an arithmetic number, because the mean of its divisors is an integer number (2668050).

Almost surely, 2^86302368 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 86302368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

86302368 is an abundant number, since it is smaller than the sum of its proper divisors (169830432).

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

86302368 is a wasteful number, since it uses less digits than its factorization.

86302368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86302368 is about 9289.9067810178. The cubic root of 86302368 is about 441.9171988518.

The spelling of 86302368 in words is "eighty-six million, three hundred two thousand, three hundred sixty-eight".