86009616 has 120 divisors (see below), whose sum is σ = 300141504. Its totient is φ = 22337280.

The previous prime is 86009597. The next prime is 86009633. The reversal of 86009616 is 61690068.

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

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, 7210 + ... + 14966.

Almost surely, 2^86009616 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 86009616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150070752).

86009616 is an abundant number, since it is smaller than the sum of its proper divisors (214131888).

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

86009616 is a wasteful number, since it uses less digits than its factorization.

86009616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7789 (or 7780 counting only the distinct ones).

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

The square root of 86009616 is about 9274.1369409773. The cubic root of 86009616 is about 441.4169472093.

The spelling of 86009616 in words is "eighty-six million, nine thousand, six hundred sixteen".