86731968 has 56 divisors (see below), whose sum is σ = 231893872. Its totient is φ = 28606464.

The previous prime is 86731963. The next prime is 86732027. The reversal of 86731968 is 86913768.

It is a Cunningham number, because it is equal to 9313²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86731963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16296 + ... + 20952.

It is an arithmetic number, because the mean of its divisors is an integer number (4140962).

Almost surely, 2^86731968 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 86731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115946936).

86731968 is an abundant number, since it is smaller than the sum of its proper divisors (145161904).

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

86731968 is a wasteful number, since it uses less digits than its factorization.

86731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4759 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 86731968 is about 9312.9999463116. Note that the first 4 decimals coincide. The cubic root of 86731968 is about 442.6492509398.

The spelling of 86731968 in words is "eighty-six million, seven hundred thirty-one thousand, nine hundred sixty-eight".