85744512 has 240 divisors, whose sum is σ = 297130080. Its totient is φ = 23708160.

The previous prime is 85744487. The next prime is 85744517. The reversal of 85744512 is 21544758.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85744517) 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 29 ways as a sum of consecutive naturals, for example, 2765937 + ... + 2765967.

It is an arithmetic number, because the mean of its divisors is an integer number (1238042).

Almost surely, 2^85744512 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 85744512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148565040).

85744512 is an abundant number, since it is smaller than the sum of its proper divisors (211385568).

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

85744512 is an equidigital number, since it uses as much as digits as its factorization.

85744512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 85744512 is about 9259.8332598379. The cubic root of 85744512 is about 440.9629598520.

It can be divided in two parts, 857 and 44512, that added together give a square (45369 = 213²).

The spelling of 85744512 in words is "eighty-five million, seven hundred forty-four thousand, five hundred twelve".