86441200 has 30 divisors (see below), whose sum is σ = 207675944. Its totient is φ = 34576320.

The previous prime is 86441197. The next prime is 86441207. The reversal of 86441200 is 214468.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86441207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107652 + ... + 108451.

Almost surely, 2^86441200 is an apocalyptic number.

86441200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86441200 is an abundant number, since it is smaller than the sum of its proper divisors (121234744).

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

86441200 is a wasteful number, since it uses less digits than its factorization.

86441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216121 (or 216110 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 86441200 is about 9297.3759738972. The cubic root of 86441200 is about 442.1540381601.

Adding to 86441200 its reverse (214468), we get a palindrome (86655668).

The spelling of 86441200 in words is "eighty-six million, four hundred forty-one thousand, two hundred".