86581488 has 80 divisors (see below), whose sum is σ = 257761280. Its totient is φ = 24530688.

The previous prime is 86581477. The next prime is 86581507. The reversal of 86581488 is 88418568.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 41658 + ... + 43686.

It is an arithmetic number, because the mean of its divisors is an integer number (3222016).

Almost surely, 2^86581488 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 86581488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128880640).

86581488 is an abundant number, since it is smaller than the sum of its proper divisors (171179792).

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

86581488 is a wasteful number, since it uses less digits than its factorization.

86581488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its digits is 491520, while the sum is 48.

The square root of 86581488 is about 9304.9174096281. The cubic root of 86581488 is about 442.3931038670.

The spelling of 86581488 in words is "eighty-six million, five hundred eighty-one thousand, four hundred eighty-eight".