86200960 has 48 divisors (see below), whose sum is σ = 206637210. Its totient is φ = 34386432.

The previous prime is 86200957. The next prime is 86200969. The reversal of 86200960 is 6900268.

It can be written as a sum of positive squares in only one way, i.e., 77580864 + 8620096 = 8808^2 + 2936^2 .

It is not an unprimeable number, because it can be changed into a prime (86200969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234697 + ... + 235063.

Almost surely, 2^86200960 is an apocalyptic number.

86200960 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 86200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103318605).

86200960 is an abundant number, since it is smaller than the sum of its proper divisors (120436250).

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

86200960 is an frugal number, since it uses more digits than its factorization.

86200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 86200960 is about 9284.4472102544. The cubic root of 86200960 is about 441.7440421378.

The spelling of 86200960 in words is "eighty-six million, two hundred thousand, nine hundred sixty".