85932544 has 40 divisors (see below), whose sum is σ = 175399488. Its totient is φ = 42040320.

The previous prime is 85932541. The next prime is 85932551. The reversal of 85932544 is 44523958.

It is a junction number, because it is equal to n+sod(n) for n = 85932497 and 85932506.

It is not an unprimeable number, because it can be changed into a prime (85932541) 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 3 ways as a sum of consecutive naturals, for example, 22279 + ... + 25849.

Almost surely, 2^85932544 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 85932544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87699744).

85932544 is an abundant number, since it is smaller than the sum of its proper divisors (89466944).

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

85932544 is an equidigital number, since it uses as much as digits as its factorization.

85932544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3620 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 85932544 is about 9269.9807982541. The cubic root of 85932544 is about 441.2850586466.

The spelling of 85932544 in words is "eighty-five million, nine hundred thirty-two thousand, five hundred forty-four".