85607616 has 112 divisors (see below), whose sum is σ = 246440960. Its totient is φ = 26127360.

The previous prime is 85607609. The next prime is 85607653. The reversal of 85607616 is 61670658.

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, 112710 + ... + 113466.

Almost surely, 2^85607616 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 85607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123220480).

85607616 is an abundant number, since it is smaller than the sum of its proper divisors (160833344).

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

85607616 is a wasteful number, since it uses less digits than its factorization.

85607616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 85607616 is about 9252.4383813133. The cubic root of 85607616 is about 440.7281606856.

The spelling of 85607616 in words is "eighty-five million, six hundred seven thousand, six hundred sixteen".