36085632 has 64 divisors (see below), whose sum is σ = 104578560. Its totient is φ = 10933760.

The previous prime is 36085631. The next prime is 36085667. The reversal of 36085632 is 23658063.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 36085593 and 36085602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36085631) 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, 48 + ... + 8495.

It is an arithmetic number, because the mean of its divisors is an integer number (1634040).

Almost surely, 2^36085632 is an apocalyptic number.

36085632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52289280).

36085632 is an abundant number, since it is smaller than the sum of its proper divisors (68492928).

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

36085632 is a wasteful number, since it uses less digits than its factorization.

36085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 36085632 is about 6007.1317614982. The cubic root of 36085632 is about 330.4543237229.

The spelling of 36085632 in words is "thirty-six million, eighty-five thousand, six hundred thirty-two".