85359456 has 144 divisors (see below), whose sum is σ = 298849824. Its totient is φ = 22505472.

The previous prime is 85359433. The next prime is 85359479. The reversal of 85359456 is 65495358.

85359456 is a `hidden beast` number, since 8 + 5 + 3 + 594 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (85359433) and next prime (85359479).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24580 + ... + 27836.

It is an arithmetic number, because the mean of its divisors is an integer number (2075346).

Almost surely, 2^85359456 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 85359456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149424912).

85359456 is an abundant number, since it is smaller than the sum of its proper divisors (213490368).

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

85359456 is a wasteful number, since it uses less digits than its factorization.

85359456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3282 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 85359456 is about 9239.0181296499. The cubic root of 85359456 is about 440.3018864905.

The spelling of 85359456 in words is "eighty-five million, three hundred fifty-nine thousand, four hundred fifty-six".