85794048 has 108 divisors (see below), whose sum is σ = 258279840. Its totient is φ = 27337728.

The previous prime is 85794047. The next prime is 85794061. The reversal of 85794048 is 84049758.

It is a junction number, because it is equal to n+sod(n) for n = 85793994 and 85794012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85794043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52183 + ... + 53801.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 2^85794048 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 85794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129139920).

85794048 is an abundant number, since it is smaller than the sum of its proper divisors (172485792).

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

85794048 is a wasteful number, since it uses less digits than its factorization.

85794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85794048 is about 9262.5076518187. The cubic root of 85794048 is about 441.0478606640.

The spelling of 85794048 in words is "eighty-five million, seven hundred ninety-four thousand, forty-eight".