86881600 has 84 divisors (see below), whose sum is σ = 230283004. Its totient is φ = 32071680.

The previous prime is 86881579. The next prime is 86881643. The reversal of 86881600 is 618868.

It can be written as a sum of positive squares in 6 ways, for example, as 614656 + 86266944 = 784^2 + 9288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86881600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18712 + ... + 22888.

Almost surely, 2^86881600 is an apocalyptic number.

86881600 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 86881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115141502).

86881600 is an abundant number, since it is smaller than the sum of its proper divisors (143401404).

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

86881600 is a wasteful number, since it uses less digits than its factorization.

86881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 86881600 is about 9321.0299860048. The cubic root of 86881600 is about 442.9036609378.

The spelling of 86881600 in words is "eighty-six million, eight hundred eighty-one thousand, six hundred".