86281200 has 150 divisors (see below), whose sum is σ = 309772584. Its totient is φ = 22999680.

The previous prime is 86281199. The next prime is 86281207. The reversal of 86281200 is 218268.

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86281207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31069 + ... + 33731.

Almost surely, 2^86281200 is an apocalyptic number.

86281200 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 86281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154886292).

86281200 is an abundant number, since it is smaller than the sum of its proper divisors (223491384).

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

86281200 is a wasteful number, since it uses less digits than its factorization.

86281200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86281200 is about 9288.7674101573. The cubic root of 86281200 is about 441.8810651651.

Adding to 86281200 its reverse (218268), we get a palindrome (86499468).

The spelling of 86281200 in words is "eighty-six million, two hundred eighty-one thousand, two hundred".