86242000 has 160 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 30528000.

The previous prime is 86241949. The next prime is 86242001. The reversal of 86242000 is 24268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86242001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805947 + ... + 806053.

Almost surely, 2^86242000 is an apocalyptic number.

86242000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

86242000 is an abundant number, since it is smaller than the sum of its proper divisors (147743024).

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

86242000 is a wasteful number, since it uses less digits than its factorization.

86242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 86242000 is about 9286.6570949939. The cubic root of 86242000 is about 441.8141353215.

Adding to 86242000 its reverse (24268), we get a palindrome (86266268).

The spelling of 86242000 in words is "eighty-six million, two hundred forty-two thousand".