85961688 has 64 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 27753600.

The previous prime is 85961677. The next prime is 85961723. The reversal of 85961688 is 88616958.

It is a self number, because there is not a number n which added to its sum of digits gives 85961688.

It is a congruent number.

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, 103531 + ... + 104357.

It is an arithmetic number, because the mean of its divisors is an integer number (3465180).

Almost surely, 2^85961688 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 85961688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

85961688 is an abundant number, since it is smaller than the sum of its proper divisors (135809832).

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

85961688 is a wasteful number, since it uses less digits than its factorization.

85961688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 85961688 is about 9271.5526207858. The cubic root of 85961688 is about 441.3349402456.

The spelling of 85961688 in words is "eighty-five million, nine hundred sixty-one thousand, six hundred eighty-eight".