86590056 has 96 divisors (see below), whose sum is σ = 260604000. Its totient is φ = 23877504.

The previous prime is 86590051. The next prime is 86590079. The reversal of 86590056 is 65009568.

It is a junction number, because it is equal to n+sod(n) for n = 86589996 and 86590023.

It is not an unprimeable number, because it can be changed into a prime (86590051) 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, 32835 + ... + 35373.

It is an arithmetic number, because the mean of its divisors is an integer number (2714625).

Almost surely, 2^86590056 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 86590056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130302000).

86590056 is an abundant number, since it is smaller than the sum of its proper divisors (174013944).

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

86590056 is a wasteful number, since it uses less digits than its factorization.

86590056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 86590056 is about 9305.3777999606. The cubic root of 86590056 is about 442.4076962823.

The spelling of 86590056 in words is "eighty-six million, five hundred ninety thousand, fifty-six".