86201388 has 192 divisors, whose sum is σ = 282240000. Its totient is φ = 22607424.

The previous prime is 86201387. The next prime is 86201389. The reversal of 86201388 is 88310268.

It is an interprime number because it is at equal distance from previous prime (86201387) and next prime (86201389).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86201387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481483 + ... + 481661.

It is an arithmetic number, because the mean of its divisors is an integer number (1470000).

Almost surely, 2^86201388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86201388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120000).

86201388 is an abundant number, since it is smaller than the sum of its proper divisors (196038612).

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

86201388 is a wasteful number, since it uses less digits than its factorization.

86201388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 86201388 is about 9284.4702595248. The cubic root of 86201388 is about 441.7447732439.

The spelling of 86201388 in words is "eighty-six million, two hundred one thousand, three hundred eighty-eight".