86567200 has 72 divisors (see below), whose sum is σ = 212681700. Its totient is φ = 34406400.

The previous prime is 86567197. The next prime is 86567207. The reversal of 86567200 is 276568.

It can be written as a sum of positive squares in 6 ways, for example, as 47279376 + 39287824 = 6876^2 + 6268^2 .

It is a super-3 number, since 3×86567200³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86567207) 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, 192576 + ... + 193024.

Almost surely, 2^86567200 is an apocalyptic number.

86567200 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 86567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106340850).

86567200 is an abundant number, since it is smaller than the sum of its proper divisors (126114500).

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

86567200 is a wasteful number, since it uses less digits than its factorization.

86567200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 86567200 is about 9304.1496118667. The cubic root of 86567200 is about 442.3687674084.

The spelling of 86567200 in words is "eighty-six million, five hundred sixty-seven thousand, two hundred".