85261616 has 40 divisors (see below), whose sum is σ = 185096784. Its totient is φ = 37704960.

The previous prime is 85261609. The next prime is 85261633. The reversal of 85261616 is 61616258.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 13058.

Almost surely, 2^85261616 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 85261616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92548392).

85261616 is an abundant number, since it is smaller than the sum of its proper divisors (99835168).

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

85261616 is a wasteful number, since it uses less digits than its factorization.

85261616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13149 (or 13143 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 85261616 is about 9233.7216765506. The cubic root of 85261616 is about 440.1335957963.

The spelling of 85261616 in words is "eighty-five million, two hundred sixty-one thousand, six hundred sixteen".