86967846 has 72 divisors (see below), whose sum is σ = 220983984. Its totient is φ = 24645600.

The previous prime is 86967833. The next prime is 86967877. The reversal of 86967846 is 64876968.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86967792 and 86967801.

It is a congruent number.

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, 132856 + ... + 133508.

It is an arithmetic number, because the mean of its divisors is an integer number (3069222).

Almost surely, 2^86967846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86967846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110491992).

86967846 is an abundant number, since it is smaller than the sum of its proper divisors (134016138).

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

86967846 is a wasteful number, since it uses less digits than its factorization.

86967846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 86967846 is about 9325.6552584792. The cubic root of 86967846 is about 443.0501669735.

The spelling of 86967846 in words is "eighty-six million, nine hundred sixty-seven thousand, eight hundred forty-six".