85420896 has 96 divisors (see below), whose sum is σ = 255322368. Its totient is φ = 24752640.

The previous prime is 85420871. The next prime is 85420897. The reversal of 85420896 is 69802458.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85420897) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22530 + ... + 26046.

It is an arithmetic number, because the mean of its divisors is an integer number (2659608).

Almost surely, 2^85420896 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 85420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127661184).

85420896 is an abundant number, since it is smaller than the sum of its proper divisors (169901472).

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

85420896 is a wasteful number, since it uses less digits than its factorization.

85420896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85420896 is about 9242.3425601954. The cubic root of 85420896 is about 440.4075012685.

The spelling of 85420896 in words is "eighty-five million, four hundred twenty thousand, eight hundred ninety-six".