85791456 has 144 divisors (see below), whose sum is σ = 256196304. Its totient is φ = 27205632.

The previous prime is 85791451. The next prime is 85791463. The reversal of 85791456 is 65419758.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85791451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884400 + ... + 884496.

It is an arithmetic number, because the mean of its divisors is an integer number (1779141).

Almost surely, 2^85791456 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 85791456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128098152).

85791456 is an abundant number, since it is smaller than the sum of its proper divisors (170404848).

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

85791456 is a wasteful number, since it uses less digits than its factorization.

85791456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 85791456 is about 9262.3677318491. The cubic root of 85791456 is about 441.0434189900.

The spelling of 85791456 in words is "eighty-five million, seven hundred ninety-one thousand, four hundred fifty-six".