85536360 has 288 divisors, whose sum is σ = 349188840. Its totient is φ = 17998848.

The previous prime is 85536359. The next prime is 85536383. The reversal of 85536360 is 6363558.

It can be written as a sum of positive squares in 4 ways, for example, as 55264356 + 30272004 = 7434^2 + 5502^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229134 + ... + 229506.

Almost surely, 2^85536360 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 85536360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174594420).

85536360 is an abundant number, since it is smaller than the sum of its proper divisors (263652480).

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

85536360 is a wasteful number, since it uses less digits than its factorization.

85536360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 85536360 is about 9248.5869190920. The cubic root of 85536360 is about 440.6058458552.

The spelling of 85536360 in words is "eighty-five million, five hundred thirty-six thousand, three hundred sixty".