86041400 has 48 divisors (see below), whose sum is σ = 203063640. Its totient is φ = 33897600.

The previous prime is 86041381. The next prime is 86041429. The reversal of 86041400 is 414068.

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 11 ways as a sum of consecutive naturals, for example, 10190 + ... + 16610.

Almost surely, 2^86041400 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 86041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101531820).

86041400 is an abundant number, since it is smaller than the sum of its proper divisors (117022240).

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

86041400 is a wasteful number, since it uses less digits than its factorization.

86041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 86041400 is about 9275.8503653304. The cubic root of 86041400 is about 441.4713142636.

Adding to 86041400 its reverse (414068), we get a palindrome (86455468).

The spelling of 86041400 in words is "eighty-six million, forty-one thousand, four hundred".