85294944 has 144 divisors (see below), whose sum is σ = 287659008. Its totient is φ = 24354432.

The previous prime is 85294939. The next prime is 85294969. The reversal of 85294944 is 44949258.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 85294944.

It is a congruent number.

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, 53649 + ... + 55215.

It is an arithmetic number, because the mean of its divisors is an integer number (1997632).

Almost surely, 2^85294944 is an apocalyptic number.

85294944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85294944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143829504).

85294944 is an abundant number, since it is smaller than the sum of its proper divisors (202364064).

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

85294944 is a wasteful number, since it uses less digits than its factorization.

85294944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1579 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85294944 is about 9235.5261896656. The cubic root of 85294944 is about 440.1909364156.

The spelling of 85294944 in words is "eighty-five million, two hundred ninety-four thousand, nine hundred forty-four".