86343200 has 72 divisors (see below), whose sum is σ = 216556452. Its totient is φ = 33592320.

The previous prime is 86343199. The next prime is 86343203. The reversal of 86343200 is 234368.

It can be written as a sum of positive squares in 6 ways, for example, as 77510416 + 8832784 = 8804^2 + 2972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86343200.

It is not an unprimeable number, because it can be changed into a prime (86343203) 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, 28142 + ... + 31058.

Almost surely, 2^86343200 is an apocalyptic number.

86343200 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 86343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108278226).

86343200 is an abundant number, since it is smaller than the sum of its proper divisors (130213252).

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

86343200 is a wasteful number, since it uses less digits than its factorization.

86343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 86343200 is about 9292.1041750510. The cubic root of 86343200 is about 441.9868822162.

Adding to 86343200 its reverse (234368), we get a palindrome (86577568).

The spelling of 86343200 in words is "eighty-six million, three hundred forty-three thousand, two hundred".