86900968 has 32 divisors (see below), whose sum is σ = 203146560. Its totient is φ = 33857280.

The previous prime is 86900963. The next prime is 86900971.

It is a happy number.

86900968 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86900963) 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, 69921 + ... + 71152.

It is an arithmetic number, because the mean of its divisors is an integer number (6348330).

Almost surely, 2^86900968 is an apocalyptic number.

86900968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86900968 is an abundant number, since it is smaller than the sum of its proper divisors (116245592).

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

86900968 is a wasteful number, since it uses less digits than its factorization.

86900968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141097 (or 141093 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 86900968 is about 9322.0688690869. The cubic root of 86900968 is about 442.9365697883.

The spelling of 86900968 in words is "eighty-six million, nine hundred thousand, nine hundred sixty-eight".