86800868 has 48 divisors (see below), whose sum is σ = 195514368. Its totient is φ = 32724000.

The previous prime is 86800867. The next prime is 86800877.

86800868 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (86800867) 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, 5003 + ... + 14093.

It is an arithmetic number, because the mean of its divisors is an integer number (4073216).

Almost surely, 2^86800868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86800868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97757184).

86800868 is an abundant number, since it is smaller than the sum of its proper divisors (108713500).

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

86800868 is a wasteful number, since it uses less digits than its factorization.

86800868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 86800868 is about 9316.6983422240. The cubic root of 86800868 is about 442.7664336489.

It can be divided in two parts, 86800 and 868, that multiplied together give a square (75342400 = 8680²).

The spelling of 86800868 in words is "eighty-six million, eight hundred thousand, eight hundred sixty-eight".