86851100 has 72 divisors (see below), whose sum is σ = 219548448. Its totient is φ = 29203200.

The previous prime is 86851097. The next prime is 86851103. The reversal of 86851100 is 115868.

It is an interprime number because it is at equal distance from previous prime (86851097) and next prime (86851103).

It is a super-2 number, since 2×86851100² = 15086227142420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86851103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35930 + ... + 38270.

It is an arithmetic number, because the mean of its divisors is an integer number (3049284).

Almost surely, 2^86851100 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 86851100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109774224).

86851100 is an abundant number, since it is smaller than the sum of its proper divisors (132697348).

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

86851100 is a wasteful number, since it uses less digits than its factorization.

86851100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 86851100 is about 9319.3937571067. The cubic root of 86851100 is about 442.8518273977.

Adding to 86851100 its reverse (115868), we get a palindrome (86966968).

The spelling of 86851100 in words is "eighty-six million, eight hundred fifty-one thousand, one hundred".