85135644 has 48 divisors (see below), whose sum is σ = 240791040. Its totient is φ = 25798320.

The previous prime is 85135621. The next prime is 85135651. The reversal of 85135644 is 44653158.

It is a happy number.

85135644 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 5 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85135599 and 85135608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34644 + ... + 37019.

It is an arithmetic number, because the mean of its divisors is an integer number (5016480).

Almost surely, 2^85135644 is an apocalyptic number.

It is an amenable number.

85135644 is an abundant number, since it is smaller than the sum of its proper divisors (155655396).

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

85135644 is a wasteful number, since it uses less digits than its factorization.

85135644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71687 (or 71679 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85135644 is about 9226.8978535584. The cubic root of 85135644 is about 439.9167266651.

The spelling of 85135644 in words is "eighty-five million, one hundred thirty-five thousand, six hundred forty-four".