86563200 has 192 divisors, whose sum is σ = 291409920. Its totient is φ = 22579200.

The previous prime is 86563187. The next prime is 86563241. The reversal of 86563200 is 236568.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681537 + ... + 681663.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 2^86563200 is an apocalyptic number.

86563200 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 86563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

86563200 is an abundant number, since it is smaller than the sum of its proper divisors (204846720).

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

86563200 is a wasteful number, since it uses less digits than its factorization.

86563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 86563200 is about 9303.9346515332. The cubic root of 86563200 is about 442.3619538103.

Adding to 86563200 its reverse (236568), we get a palindrome (86799768).

The spelling of 86563200 in words is "eighty-six million, five hundred sixty-three thousand, two hundred".