85673536 has 63 divisors (see below), whose sum is σ = 186183651. Its totient is φ = 39097344.

The previous prime is 85673531. The next prime is 85673561. The reversal of 85673536 is 63537658.

85673536 = T₃₆₂₄ + T₃₆₂₅ + ... + T₃₆₃₆.

The square root of 85673536 is 9256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37454400 + 48219136 = 6120^2 + 6944^2 .

It is a Duffinian number.

Its product of digits (453600) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 85673492 and 85673501.

It is not an unprimeable number, because it can be changed into a prime (85673531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 962580 + ... + 962668.

Almost surely, 2^85673536 is an apocalyptic number.

85673536 is the 9256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85673536

85673536 is an abundant number, since it is smaller than the sum of its proper divisors (100510115).

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

85673536 is an equidigital number, since it uses as much as digits as its factorization.

85673536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 104 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The cubic root of 85673536 is about 440.8412555548.

The spelling of 85673536 in words is "eighty-five million, six hundred seventy-three thousand, five hundred thirty-six".