63085032 has 24 divisors (see below), whose sum is σ = 170855490. Its totient is φ = 21028320.

The previous prime is 63085027. The next prime is 63085049. The reversal of 63085032 is 23058036.

63085032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57062916 + 6022116 = 7554^2 + 2454^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 63084987 and 63085005.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 438019 + ... + 438162.

Almost surely, 2^63085032 is an apocalyptic number.

It is an amenable number.

63085032 is an abundant number, since it is smaller than the sum of its proper divisors (107770458).

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

63085032 is a wasteful number, since it uses less digits than its factorization.

63085032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876193 (or 876186 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 63085032 is about 7942.6086394836. The cubic root of 63085032 is about 398.0846599867.

The spelling of 63085032 in words is "sixty-three million, eighty-five thousand, thirty-two".