86735088 has 120 divisors (see below), whose sum is σ = 280468656. Its totient is φ = 24729600.

The previous prime is 86735087. The next prime is 86735113. The reversal of 86735088 is 88053768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86735081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25318 + ... + 28538.

Almost surely, 2^86735088 is an apocalyptic number.

86735088 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 86735088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140234328).

86735088 is an abundant number, since it is smaller than the sum of its proper divisors (193733568).

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

86735088 is a wasteful number, since it uses less digits than its factorization.

86735088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 86735088 is about 9313.1674525910. The cubic root of 86735088 is about 442.6545586679.

The spelling of 86735088 in words is "eighty-six million, seven hundred thirty-five thousand, eighty-eight".