85344576 has 56 divisors (see below), whose sum is σ = 226649280. Its totient is φ = 28342272.

The previous prime is 85344563. The next prime is 85344583. The reversal of 85344576 is 67544358.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 64045 + ... + 65363.

Almost surely, 2^85344576 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 85344576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113324640).

85344576 is an abundant number, since it is smaller than the sum of its proper divisors (141304704).

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

85344576 is a wasteful number, since it uses less digits than its factorization.

85344576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 85344576 is about 9238.2128141757. The cubic root of 85344576 is about 440.2763002887.

The spelling of 85344576 in words is "eighty-five million, three hundred forty-four thousand, five hundred seventy-six".