86885100 has 108 divisors (see below), whose sum is σ = 286726440. Its totient is φ = 21945600.

The previous prime is 86885087. The next prime is 86885129. The reversal of 86885100 is 158868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14560 + ... + 19640.

Almost surely, 2^86885100 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 86885100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143363220).

86885100 is an abundant number, since it is smaller than the sum of its proper divisors (199841340).

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

86885100 is a wasteful number, since it uses less digits than its factorization.

86885100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 86885100 is about 9321.2177316057. The cubic root of 86885100 is about 442.9096082730.

The spelling of 86885100 in words is "eighty-six million, eight hundred eighty-five thousand, one hundred".