85641444 has 72 divisors (see below), whose sum is σ = 261975168. Its totient is φ = 23028480.

The previous prime is 85641419. The next prime is 85641467. The reversal of 85641444 is 44414658.

It is a happy number.

85641444 is a `hidden beast` number, since 8 + 5 + 641 + 4 + 4 + 4 = 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 = 85641399 and 85641408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5712 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (3638544).

Almost surely, 2^85641444 is an apocalyptic number.

85641444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85641444 is an abundant number, since it is smaller than the sum of its proper divisors (176333724).

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

85641444 is a wasteful number, since it uses less digits than its factorization.

85641444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20025 (or 20020 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 85641444 is about 9254.2662594071. The cubic root of 85641444 is about 440.7862045434.

The spelling of 85641444 in words is "eighty-five million, six hundred forty-one thousand, four hundred forty-four".