86041200 has 120 divisors (see below), whose sum is σ = 315023488. Its totient is φ = 19664640.

The previous prime is 86041157. The next prime is 86041201. The reversal of 86041200 is 214068.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86041201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3279 + ... + 13521.

Almost surely, 2^86041200 is an apocalyptic number.

86041200 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 86041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157511744).

86041200 is an abundant number, since it is smaller than the sum of its proper divisors (228982288).

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

86041200 is a wasteful number, since it uses less digits than its factorization.

86041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 86041200 is about 9275.8395846414. The cubic root of 86041200 is about 441.4709722021.

Adding to 86041200 its reverse (214068), we get a palindrome (86255268).

The spelling of 86041200 in words is "eighty-six million, forty-one thousand, two hundred".