86966968 has 64 divisors (see below), whose sum is σ = 191639520. Its totient is φ = 36556800.

The previous prime is 86966963. The next prime is 86966981.

86966968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86966968² = 15126507046226048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86966963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90780 + ... + 91732.

Almost surely, 2^86966968 is an apocalyptic number.

86966968 is a gapful number since it is divisible by the number (88) 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 86966968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95819760).

86966968 is an abundant number, since it is smaller than the sum of its proper divisors (104672552).

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

86966968 is a wasteful number, since it uses less digits than its factorization.

86966968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 58.

The square root of 86966968 is about 9325.6081839202. The cubic root of 86966968 is about 443.0486760035.

The spelling of 86966968 in words is "eighty-six million, nine hundred sixty-six thousand, nine hundred sixty-eight".