85148032 has 32 divisors (see below), whose sum is σ = 171243720. Its totient is φ = 42169344.

The previous prime is 85148027. The next prime is 85148057. The reversal of 85148032 is 23084158.

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

It is a junction number, because it is equal to n+sod(n) for n = 85147985 and 85148003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10588 + ... + 16804.

Almost surely, 2^85148032 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 85148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85621860).

85148032 is an abundant number, since it is smaller than the sum of its proper divisors (86095688).

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

85148032 is a wasteful number, since it uses less digits than its factorization.

85148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 85148032 is about 9227.5691273488. The cubic root of 85148032 is about 439.9380629071.

The spelling of 85148032 in words is "eighty-five million, one hundred forty-eight thousand, thirty-two".