86268042 has 96 divisors (see below), whose sum is σ = 221090688. Its totient is φ = 23804928.

The previous prime is 86268041. The next prime is 86268107. The reversal of 86268042 is 24086268.

It is a junction number, because it is equal to n+sod(n) for n = 86267988 and 86268006.

It is not an unprimeable number, because it can be changed into a prime (86268041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763378 + ... + 763490.

It is an arithmetic number, because the mean of its divisors is an integer number (2303028).

Almost surely, 2^86268042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86268042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110545344).

86268042 is an abundant number, since it is smaller than the sum of its proper divisors (134822646).

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

86268042 is a wasteful number, since it uses less digits than its factorization.

86268042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86268042 is about 9288.0591083391. The cubic root of 86268042 is about 441.8586015360.

The spelling of 86268042 in words is "eighty-six million, two hundred sixty-eight thousand, forty-two".