86858100 has 216 divisors, whose sum is σ = 329853888. Its totient is φ = 18662400.

The previous prime is 86858047. The next prime is 86858111. The reversal of 86858100 is 185868.

It is a super-2 number, since 2×86858100² = 15088659071220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106695 + ... + 107505.

Almost surely, 2^86858100 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 86858100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164926944).

86858100 is an abundant number, since it is smaller than the sum of its proper divisors (242995788).

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

86858100 is a wasteful number, since it uses less digits than its factorization.

86858100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

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

The square root of 86858100 is about 9319.7693104497. The cubic root of 86858100 is about 442.8637246928.

The spelling of 86858100 in words is "eighty-six million, eight hundred fifty-eight thousand, one hundred".