86211888 has 80 divisors (see below), whose sum is σ = 255578880. Its totient is φ = 24530688.

The previous prime is 86211877. The next prime is 86211893. The reversal of 86211888 is 88811268.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127006 + ... + 127682.

It is an arithmetic number, because the mean of its divisors is an integer number (3194736).

Almost surely, 2^86211888 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 86211888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127789440).

86211888 is an abundant number, since it is smaller than the sum of its proper divisors (169366992).

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

86211888 is a wasteful number, since it uses less digits than its factorization.

86211888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its digits is 49152, while the sum is 42.

The square root of 86211888 is about 9285.0357026777. The cubic root of 86211888 is about 441.7627084996.

The spelling of 86211888 in words is "eighty-six million, two hundred eleven thousand, eight hundred eighty-eight".