86610096 has 120 divisors (see below), whose sum is σ = 252555264. Its totient is φ = 27688320.

The previous prime is 86610077. The next prime is 86610107. The reversal of 86610096 is 69001668.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86610096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453361 + ... + 453551.

Almost surely, 2^86610096 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 86610096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126277632).

86610096 is an abundant number, since it is smaller than the sum of its proper divisors (165945168).

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

86610096 is a wasteful number, since it uses less digits than its factorization.

86610096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 86610096 is about 9306.4545343541. The cubic root of 86610096 is about 442.4418232432.

The spelling of 86610096 in words is "eighty-six million, six hundred ten thousand, ninety-six".