85109464 has 32 divisors (see below), whose sum is σ = 175548240. Its totient is φ = 38681280.

The previous prime is 85109441. The next prime is 85109471. The reversal of 85109464 is 46490158.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6652 + ... + 14644.

Almost surely, 2^85109464 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 85109464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87774120).

85109464 is an abundant number, since it is smaller than the sum of its proper divisors (90438776).

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

85109464 is a wasteful number, since it uses less digits than its factorization.

85109464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 85109464 is about 9225.4790661515. The cubic root of 85109464 is about 439.8716292179.

It can be divided in two parts, 851094 and 64, that added together give a palindrome (851158).

The spelling of 85109464 in words is "eighty-five million, one hundred nine thousand, four hundred sixty-four".