85046544 has 120 divisors (see below), whose sum is σ = 268489760. Its totient is φ = 25755840.

The previous prime is 85046543. The next prime is 85046557. The reversal of 85046544 is 44564058.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 85046499 and 85046508.

It is not an unprimeable number, because it can be changed into a prime (85046543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51459 + ... + 53085.

Almost surely, 2^85046544 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 85046544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134244880).

85046544 is an abundant number, since it is smaller than the sum of its proper divisors (183443216).

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

85046544 is a wasteful number, since it uses less digits than its factorization.

85046544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 85046544 is about 9222.0683146461. The cubic root of 85046544 is about 439.7632059211.

The spelling of 85046544 in words is "eighty-five million, forty-six thousand, five hundred forty-four".