86706880 has 112 divisors (see below), whose sum is σ = 234269280. Its totient is φ = 30302208.

The previous prime is 86706859. The next prime is 86706883. The reversal of 86706880 is 8860768.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86706883) 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, 78492 + ... + 79588.

It is an arithmetic number, because the mean of its divisors is an integer number (2091690).

Almost surely, 2^86706880 is an apocalyptic number.

86706880 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 86706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117134640).

86706880 is an abundant number, since it is smaller than the sum of its proper divisors (147562400).

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

86706880 is a wasteful number, since it uses less digits than its factorization.

86706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 86706880 is about 9311.6529144938. The cubic root of 86706880 is about 442.6065667347.

The spelling of 86706880 in words is "eighty-six million, seven hundred six thousand, eight hundred eighty".