85436964 has 48 divisors (see below), whose sum is σ = 223283200. Its totient is φ = 28250208.

The previous prime is 85436957. The next prime is 85436969. The reversal of 85436964 is 46963458.

It is not an unprimeable number, because it can be changed into a prime (85436969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10602 + ... + 16830.

Almost surely, 2^85436964 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 85436964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111641600).

85436964 is an abundant number, since it is smaller than the sum of its proper divisors (137846236).

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

85436964 is a wasteful number, since it uses less digits than its factorization.

85436964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6361 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 85436964 is about 9243.2117794628. The cubic root of 85436964 is about 440.4351136537.

The spelling of 85436964 in words is "eighty-five million, four hundred thirty-six thousand, nine hundred sixty-four".