86955968 has 28 divisors (see below), whose sum is σ = 188241432. Its totient is φ = 39525120.

The previous prime is 86955959. The next prime is 86955971.

86955968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86955968² = 15122680741634048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61055 + ... + 62462.

Almost surely, 2^86955968 is an apocalyptic number.

86955968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86955968 is an abundant number, since it is smaller than the sum of its proper divisors (101285464).

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

86955968 is a wasteful number, since it uses less digits than its factorization.

86955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123540 (or 123530 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 56.

The square root of 86955968 is about 9325.0183914028. The cubic root of 86955968 is about 443.0299955740.

The spelling of 86955968 in words is "eighty-six million, nine hundred fifty-five thousand, nine hundred sixty-eight".