85967232 has 128 divisors (see below), whose sum is σ = 260638560. Its totient is φ = 24870912.

The previous prime is 85967197. The next prime is 85967237. The reversal of 85967232 is 23276958.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85967237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84358 + ... + 85370.

Almost surely, 2^85967232 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 85967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

85967232 is an abundant number, since it is smaller than the sum of its proper divisors (174671328).

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

85967232 is a wasteful number, since it uses less digits than its factorization.

85967232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 85967232 is about 9271.8515950160. The cubic root of 85967232 is about 441.3444278378.

The spelling of 85967232 in words is "eighty-five million, nine hundred sixty-seven thousand, two hundred thirty-two".