36068580 has 36 divisors (see below), whose sum is σ = 109408572. Its totient is φ = 9618240.

The previous prime is 36068569. The next prime is 36068581. The reversal of 36068580 is 8586063.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 30536676 = 2352^2 + 5526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (36068581) 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, 100011 + ... + 100370.

It is an arithmetic number, because the mean of its divisors is an integer number (3039127).

Almost surely, 2^36068580 is an apocalyptic number.

36068580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36068580 is an abundant number, since it is smaller than the sum of its proper divisors (73339992).

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

36068580 is a wasteful number, since it uses less digits than its factorization.

36068580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200396 (or 200391 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 36068580 is about 6005.7122808207. The cubic root of 36068580 is about 330.4022642685.

The spelling of 36068580 in words is "thirty-six million, sixty-eight thousand, five hundred eighty".