86735268 has 18 divisors (see below), whose sum is σ = 219247574. Its totient is φ = 28911744.

The previous prime is 86735261. The next prime is 86735269. The reversal of 86735268 is 86253768.

It can be written as a sum of positive squares in only one way, i.e., 84052224 + 2683044 = 9168^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (86735261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1204621 + ... + 1204692.

Almost surely, 2^86735268 is an apocalyptic number.

It is an amenable number.

86735268 is an abundant number, since it is smaller than the sum of its proper divisors (132512306).

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

86735268 is a wasteful number, since it uses less digits than its factorization.

86735268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409323 (or 2409318 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 86735268 is about 9313.1771163229. The cubic root of 86735268 is about 442.6548648791.

The spelling of 86735268 in words is "eighty-six million, seven hundred thirty-five thousand, two hundred sixty-eight".