85603456 has 32 divisors (see below), whose sum is σ = 171360000. Its totient is φ = 42595584.

The previous prime is 85603451. The next prime is 85603457. The reversal of 85603456 is 65430658.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (85603451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27045 + ... + 30043.

It is an arithmetic number, because the mean of its divisors is an integer number (5355000).

Almost surely, 2^85603456 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 85603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680000).

85603456 is an abundant number, since it is smaller than the sum of its proper divisors (85756544).

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

85603456 is a wasteful number, since it uses less digits than its factorization.

85603456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 85603456 is about 9252.2135729781. The cubic root of 85603456 is about 440.7210216835.

The spelling of 85603456 in words is "eighty-five million, six hundred three thousand, four hundred fifty-six".