86409700 has 54 divisors (see below), whose sum is σ = 203082054. Its totient is φ = 31898880.

The previous prime is 86409683. The next prime is 86409703. The reversal of 86409700 is 790468.

86409700 = 363² + 364² + ... + 674².

It can be written as a sum of positive squares in 9 ways, for example, as 78747876 + 7661824 = 8874^2 + 2768^2 .

It is not an unprimeable number, because it can be changed into a prime (86409703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14344 + ... + 19456.

Almost surely, 2^86409700 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 86409700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101541027).

86409700 is an abundant number, since it is smaller than the sum of its proper divisors (116672354).

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

86409700 is a wasteful number, since it uses less digits than its factorization.

86409700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 86409700 is about 9295.6817931769. The cubic root of 86409700 is about 442.1003232481.

The spelling of 86409700 in words is "eighty-six million, four hundred nine thousand, seven hundred".