85652532 has 192 divisors, whose sum is σ = 274176000. Its totient is φ = 22581504.

The previous prime is 85652519. The next prime is 85652533. The reversal of 85652532 is 23525658.

It is a happy number.

It is a super-2 number, since 2×85652532² = 14672712476022048, which contains 22 as substring.

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 (85652533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962344 + ... + 962432.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 2^85652532 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 85652532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

85652532 is an abundant number, since it is smaller than the sum of its proper divisors (188523468).

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

85652532 is a wasteful number, since it uses less digits than its factorization.

85652532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 85652532 is about 9254.8653150654. The cubic root of 85652532 is about 440.8052265897.

The spelling of 85652532 in words is "eighty-five million, six hundred fifty-two thousand, five hundred thirty-two".