85832064 has 48 divisors (see below), whose sum is σ = 246994020. Its totient is φ = 28610304.

The previous prime is 85832059. The next prime is 85832077. The reversal of 85832064 is 46023858.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 36102 + ... + 38405.

Almost surely, 2^85832064 is an apocalyptic number.

It is an amenable number.

85832064 is an abundant number, since it is smaller than the sum of its proper divisors (161161956).

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

85832064 is a wasteful number, since it uses less digits than its factorization.

85832064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74527 (or 74512 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85832064 is about 9264.5595685926. The cubic root of 85832064 is about 441.1129949398.

The spelling of 85832064 in words is "eighty-five million, eight hundred thirty-two thousand, sixty-four".