86427936 has 144 divisors (see below), whose sum is σ = 287711424. Its totient is φ = 24095232.

The previous prime is 86427899. The next prime is 86427947. The reversal of 86427936 is 63972468.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86427891 and 86427900.

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, 86190 + ... + 87186.

It is an arithmetic number, because the mean of its divisors is an integer number (1997996).

Almost surely, 2^86427936 is an apocalyptic number.

86427936 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86427936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143855712).

86427936 is an abundant number, since it is smaller than the sum of its proper divisors (201283488).

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

86427936 is a wasteful number, since it uses less digits than its factorization.

86427936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 86427936 is about 9296.6626269861. The cubic root of 86427936 is about 442.1314215099.

The spelling of 86427936 in words is "eighty-six million, four hundred twenty-seven thousand, nine hundred thirty-six".