86002320 has 160 divisors (see below), whose sum is σ = 286374528. Its totient is φ = 21274624.

The previous prime is 86002309. The next prime is 86002321. The reversal of 86002320 is 2320068.

86002320 = 103² + 104² + ... + 637².

It is not an unprimeable number, because it can be changed into a prime (86002321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436462 + ... + 436658.

Almost surely, 2^86002320 is an apocalyptic number.

86002320 is a gapful number since it is divisible by the number (80) 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 86002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143187264).

86002320 is an abundant number, since it is smaller than the sum of its proper divisors (200372208).

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

86002320 is a wasteful number, since it uses less digits than its factorization.

86002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 86002320 is about 9273.7435806690. The cubic root of 86002320 is about 441.4044653913.

Adding to 86002320 its reverse (2320068), we get a palindrome (88322388).

The spelling of 86002320 in words is "eighty-six million, two thousand, three hundred twenty".