86465280 has 288 divisors, whose sum is σ = 317882880. Its totient is φ = 19824640.

The previous prime is 86465261. The next prime is 86465321. The reversal of 86465280 is 8256468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971476 + ... + 971564.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^86465280 is an apocalyptic number.

86465280 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 86465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

86465280 is an abundant number, since it is smaller than the sum of its proper divisors (231417600).

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

86465280 is a wasteful number, since it uses less digits than its factorization.

86465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 86465280 is about 9298.6708727646. The cubic root of 86465280 is about 442.1950914261.

The spelling of 86465280 in words is "eighty-six million, four hundred sixty-five thousand, two hundred eighty".