85405056 has 64 divisors (see below), whose sum is σ = 247492800. Its totient is φ = 25879040.

The previous prime is 85405051. The next prime is 85405081. The reversal of 85405056 is 65050458.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85405051) 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 7 ways as a sum of consecutive naturals, for example, 5886 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (3867075).

Almost surely, 2^85405056 is an apocalyptic number.

It is an amenable number.

85405056 is an abundant number, since it is smaller than the sum of its proper divisors (162087744).

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

85405056 is a wasteful number, since it uses less digits than its factorization.

85405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20247 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 85405056 is about 9241.4855948597. The cubic root of 85405056 is about 440.3802773049.

The spelling of 85405056 in words is "eighty-five million, four hundred five thousand, fifty-six".