86196880 has 120 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 26853120.

The previous prime is 86196871. The next prime is 86196881. The reversal of 86196880 is 8869168.

It is a super-7 number, since 7×86196880⁷ (a number of 57 digits) contains 7777777 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86196880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86196881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42121 + ... + 44119.

It is an arithmetic number, because the mean of its divisors is an integer number (2120400).

Almost surely, 2^86196880 is an apocalyptic number.

86196880 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 86196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

86196880 is an abundant number, since it is smaller than the sum of its proper divisors (168251120).

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

86196880 is a wasteful number, since it uses less digits than its factorization.

86196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 86196880 is about 9284.2274853646. The cubic root of 86196880 is about 441.7370725939.

The spelling of 86196880 in words is "eighty-six million, one hundred ninety-six thousand, eight hundred eighty".