36085968 has 60 divisors (see below), whose sum is σ = 106938468. Its totient is φ = 11320320.

The previous prime is 36085961. The next prime is 36085969. The reversal of 36085968 is 86958063.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 3732624 = 5688^2 + 1932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36085961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4923 + ... + 9818.

Almost surely, 2^36085968 is an apocalyptic number.

It is an amenable number.

36085968 is an abundant number, since it is smaller than the sum of its proper divisors (70852500).

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

36085968 is a wasteful number, since it uses less digits than its factorization.

36085968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 36085968 is about 6007.1597281910. The cubic root of 36085968 is about 330.4553493602.

The spelling of 36085968 in words is "thirty-six million, eighty-five thousand, nine hundred sixty-eight".