86504100 has 144 divisors (see below), whose sum is σ = 264774720. Its totient is φ = 21772800.

The previous prime is 86504083. The next prime is 86504141. The reversal of 86504100 is 140568.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530619 + ... + 530781.

Almost surely, 2^86504100 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 86504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132387360).

86504100 is an abundant number, since it is smaller than the sum of its proper divisors (178270620).

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

86504100 is a wasteful number, since it uses less digits than its factorization.

86504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 86504100 is about 9300.7580336229. The cubic root of 86504100 is about 442.2612584283.

Adding to 86504100 its reverse (140568), we get a palindrome (86644668).

The spelling of 86504100 in words is "eighty-six million, five hundred four thousand, one hundred".