85947136 has 72 divisors (see below), whose sum is σ = 195439104. Its totient is φ = 37340160.

The previous prime is 85947101. The next prime is 85947137. The reversal of 85947136 is 63174958.

It is a junction number, because it is equal to n+sod(n) for n = 85947092 and 85947101.

It is not an unprimeable number, because it can be changed into a prime (85947137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64105 + ... + 65431.

It is an arithmetic number, because the mean of its divisors is an integer number (2714432).

Almost surely, 2^85947136 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 85947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97719552).

85947136 is an abundant number, since it is smaller than the sum of its proper divisors (109491968).

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

85947136 is a wasteful number, since it uses less digits than its factorization.

85947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1363 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 85947136 is about 9270.7678214914. The cubic root of 85947136 is about 441.3100350867.

The spelling of 85947136 in words is "eighty-five million, nine hundred forty-seven thousand, one hundred thirty-six".