86361088 has 132 divisors (see below), whose sum is σ = 205821756. Its totient is φ = 36044800.

The previous prime is 86361083. The next prime is 86361089. The reversal of 86361088 is 88016368.

It can be written as a sum of positive squares in 2 ways, for example, as 31719424 + 54641664 = 5632^2 + 7392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86361088.

It is not an unprimeable number, because it can be changed into a prime (86361083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2106348 + ... + 2106388.

Almost surely, 2^86361088 is an apocalyptic number.

86361088 is a gapful number since it is divisible by the number (88) 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 86361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910878).

86361088 is an abundant number, since it is smaller than the sum of its proper divisors (119460668).

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

86361088 is a wasteful number, since it uses less digits than its factorization.

86361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 86361088 is about 9293.0666628406. The cubic root of 86361088 is about 442.0174027259.

The spelling of 86361088 in words is "eighty-six million, three hundred sixty-one thousand, eighty-eight".