86211360 has 288 divisors, whose sum is σ = 325503360. Its totient is φ = 20680704.

The previous prime is 86211343. The next prime is 86211371. The reversal of 86211360 is 6311268.

86211360 is a `hidden beast` number, since 8 + 621 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629212 + ... + 629348.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 2^86211360 is an apocalyptic number.

86211360 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 86211360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

86211360 is an abundant number, since it is smaller than the sum of its proper divisors (239292000).

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

86211360 is a wasteful number, since it uses less digits than its factorization.

86211360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86211360 is about 9285.0072697871. The cubic root of 86211360 is about 441.7618066472.

The spelling of 86211360 in words is "eighty-six million, two hundred eleven thousand, three hundred sixty".