86397696 has 216 divisors, whose sum is σ = 311211264. Its totient is φ = 22394880.

The previous prime is 86397691. The next prime is 86397697. The reversal of 86397696 is 69679368.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (86397691) 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, 177165 + ... + 177651.

Almost surely, 2^86397696 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 86397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155605632).

86397696 is an abundant number, since it is smaller than the sum of its proper divisors (224813568).

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

86397696 is a wasteful number, since it uses less digits than its factorization.

86397696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 86397696 is about 9295.0360946045. The cubic root of 86397696 is about 442.0798501683.

The spelling of 86397696 in words is "eighty-six million, three hundred ninety-seven thousand, six hundred ninety-six".