86384268 has 36 divisors (see below), whose sum is σ = 218709400. Its totient is φ = 28748736.

The previous prime is 86384267. The next prime is 86384269. The reversal of 86384268 is 86248368.

It is a happy number.

86384268 is a `hidden beast` number, since 8 + 6 + 384 + 268 = 666.

It is an interprime number because it is at equal distance from previous prime (86384267) and next prime (86384269).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (86384267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26808 + ... + 29856.

Almost surely, 2^86384268 is an apocalyptic number.

It is an amenable number.

86384268 is an abundant number, since it is smaller than the sum of its proper divisors (132325132).

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

86384268 is a wasteful number, since it uses less digits than its factorization.

86384268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3841 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86384268 is about 9294.3137455113. The cubic root of 86384268 is about 442.0569461787.

The spelling of 86384268 in words is "eighty-six million, three hundred eighty-four thousand, two hundred sixty-eight".