85961736 has 96 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 24556608.

The previous prime is 85961723. The next prime is 85961753. The reversal of 85961736 is 63716958.

It is a happy number.

It is a super-2 number, since 2×85961736² = 14778840112267392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85961691 and 85961700.

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, 10450 + ... + 16766.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^85961736 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 85961736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

85961736 is an abundant number, since it is smaller than the sum of its proper divisors (190008504).

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

85961736 is a wasteful number, since it uses less digits than its factorization.

85961736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6329 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 85961736 is about 9271.5552093486. Note that the first 3 decimals coincide. The cubic root of 85961736 is about 441.3350223910.

The spelling of 85961736 in words is "eighty-five million, nine hundred sixty-one thousand, seven hundred thirty-six".