86311888 has 80 divisors (see below), whose sum is σ = 191394000. Its totient is φ = 37416960.

The previous prime is 86311853. The next prime is 86311909. The reversal of 86311888 is 88811368.

It can be written as a sum of positive squares in 8 ways, for example, as 9784384 + 76527504 = 3128^2 + 8748^2 .

It is a super-3 number, since 3×86311888³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247138 + ... + 247486.

It is an arithmetic number, because the mean of its divisors is an integer number (2392425).

Almost surely, 2^86311888 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 86311888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95697000).

86311888 is an abundant number, since it is smaller than the sum of its proper divisors (105082112).

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

86311888 is a wasteful number, since it uses less digits than its factorization.

86311888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its digits is 73728, while the sum is 43.

The square root of 86311888 is about 9290.4191509318. The cubic root of 86311888 is about 441.9334475255.

The spelling of 86311888 in words is "eighty-six million, three hundred eleven thousand, eight hundred eighty-eight".