86090368 has 128 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 32182272.

The previous prime is 86090281. The next prime is 86090369. The reversal of 86090368 is 86309068.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 86090368.

It is not an unprimeable number, because it can be changed into a prime (86090369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221118 + ... + 221506.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^86090368 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 86090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

86090368 is an abundant number, since it is smaller than the sum of its proper divisors (136677632).

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

86090368 is a wasteful number, since it uses less digits than its factorization.

86090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 86090368 is about 9278.4895322461. The cubic root of 86090368 is about 441.5550486346. Note that the first 3 decimals are identical.

The spelling of 86090368 in words is "eighty-six million, ninety thousand, three hundred sixty-eight".