86588288 has 64 divisors (see below), whose sum is σ = 181396800. Its totient is φ = 41121792.

The previous prime is 86588267. The next prime is 86588291. The reversal of 86588288 is 88288568.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 222398 + ... + 222786.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^86588288 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 86588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

86588288 is an abundant number, since it is smaller than the sum of its proper divisors (94808512).

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

86588288 is a wasteful number, since it uses less digits than its factorization.

86588288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 53.

The square root of 86588288 is about 9305.2828006461. The cubic root of 86588288 is about 442.4046852278.

The spelling of 86588288 in words is "eighty-six million, five hundred eighty-eight thousand, two hundred eighty-eight".