86656956 has 48 divisors (see below), whose sum is σ = 214814880. Its totient is φ = 27095040.

The previous prime is 86656949. The next prime is 86657003. The reversal of 86656956 is 65965668.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 86656899 and 86656908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85380 + ... + 86388.

It is an arithmetic number, because the mean of its divisors is an integer number (4475310).

Almost surely, 2^86656956 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 86656956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107407440).

86656956 is an abundant number, since it is smaller than the sum of its proper divisors (128157924).

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

86656956 is a wasteful number, since it uses less digits than its factorization.

86656956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1452 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 86656956 is about 9308.9718014397. The cubic root of 86656956 is about 442.5216025714.

The spelling of 86656956 in words is "eighty-six million, six hundred fifty-six thousand, nine hundred fifty-six".