86561850 has 48 divisors (see below), whose sum is σ = 218334240. Its totient is φ = 22689600.

The previous prime is 86561843. The next prime is 86561861. The reversal of 86561850 is 5816568.

It is a junction number, because it is equal to n+sod(n) for n = 86561799 and 86561808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3960 + ... + 13740.

It is an arithmetic number, because the mean of its divisors is an integer number (4548630).

Almost surely, 2^86561850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86561850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109167120).

86561850 is an abundant number, since it is smaller than the sum of its proper divisors (131772390).

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

86561850 is a wasteful number, since it uses less digits than its factorization.

86561850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 86561850 is about 9303.8621012997. The cubic root of 86561850 is about 442.3596541736.

The spelling of 86561850 in words is "eighty-six million, five hundred sixty-one thousand, eight hundred fifty".