86333600 has 72 divisors (see below), whose sum is σ = 212048928. Its totient is φ = 34323200.

The previous prime is 86333593. The next prime is 86333603. The reversal of 86333600 is 633368.

It is not an unprimeable number, because it can be changed into a prime (86333603) 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, 248627 + ... + 248973.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124).

Almost surely, 2^86333600 is an apocalyptic number.

86333600 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 86333600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106024464).

86333600 is an abundant number, since it is smaller than the sum of its proper divisors (125715328).

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

86333600 is a wasteful number, since it uses less digits than its factorization.

86333600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 86333600 is about 9291.5875930866. The cubic root of 86333600 is about 441.9705009557.

Adding to 86333600 its reverse (633368), we get a palindrome (86966968).

The spelling of 86333600 in words is "eighty-six million, three hundred thirty-three thousand, six hundred".