86241300 has 72 divisors (see below), whose sum is σ = 250504800. Its totient is φ = 22907520.

The previous prime is 86241293. The next prime is 86241317. The reversal of 86241300 is 314268.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116331 + ... + 117069.

Almost surely, 2^86241300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125252400).

86241300 is an abundant number, since it is smaller than the sum of its proper divisors (164263500).

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

86241300 is a wasteful number, since it uses less digits than its factorization.

86241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 86241300 is about 9286.6194064363. The cubic root of 86241300 is about 441.8129399614.

Adding to 86241300 its reverse (314268), we get a palindrome (86555568).

The spelling of 86241300 in words is "eighty-six million, two hundred forty-one thousand, three hundred".