85913632 has 48 divisors (see below), whose sum is σ = 195676992. Its totient is φ = 36368640.

The previous prime is 85913591. The next prime is 85913647. The reversal of 85913632 is 23631958.

It is a junction number, because it is equal to n+sod(n) for n = 85913591 and 85913600.

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 7 ways as a sum of consecutive naturals, for example, 16282 + ... + 20902.

It is an arithmetic number, because the mean of its divisors is an integer number (4076604).

Almost surely, 2^85913632 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 85913632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97838496).

85913632 is an abundant number, since it is smaller than the sum of its proper divisors (109763360).

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

85913632 is a wasteful number, since it uses less digits than its factorization.

85913632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4713 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 85913632 is about 9268.9606752861. The cubic root of 85913632 is about 441.2526836582.

The spelling of 85913632 in words is "eighty-five million, nine hundred thirteen thousand, six hundred thirty-two".