85743264 has 48 divisors (see below), whose sum is σ = 234868032. Its totient is φ = 27337728.

The previous prime is 85743263. The next prime is 85743289. The reversal of 85743264 is 46234758.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (85743263) 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 7 ways as a sum of consecutive naturals, for example, 17209 + ... + 21624.

It is an arithmetic number, because the mean of its divisors is an integer number (4893084).

Almost surely, 2^85743264 is an apocalyptic number.

It is an amenable number.

85743264 is an abundant number, since it is smaller than the sum of its proper divisors (149124768).

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

85743264 is a wasteful number, since it uses less digits than its factorization.

85743264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38869 (or 38861 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 85743264 is about 9259.7658717702. The cubic root of 85743264 is about 440.9608204558.

The spelling of 85743264 in words is "eighty-five million, seven hundred forty-three thousand, two hundred sixty-four".