85334048 has 54 divisors (see below), whose sum is σ = 178131807. Its totient is φ = 40237120.

The previous prime is 85334047. The next prime is 85334057. The reversal of 85334048 is 84043358.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42667024 + 42667024 = 6532^2 + 6532^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6532.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85333999 and 85334017.

It is not an unprimeable number, because it can be changed into a prime (85334047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1201853 + ... + 1201923.

Almost surely, 2^85334048 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 85334048

85334048 is an abundant number, since it is smaller than the sum of its proper divisors (92797759).

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

85334048 is an equidigital number, since it uses as much as digits as its factorization.

85334048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 85334048 is about 9237.6429894211. The cubic root of 85334048 is about 440.2581955666.

The spelling of 85334048 in words is "eighty-five million, three hundred thirty-four thousand, forty-eight".