36091080 has 96 divisors (see below), whose sum is σ = 121375800. Its totient is φ = 9289728.

The previous prime is 36091079. The next prime is 36091093. The reversal of 36091080 is 8019063.

It can be written as a sum of positive squares in 4 ways, for example, as 18096516 + 17994564 = 4254^2 + 4242^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8712 + ... + 12168.

Almost surely, 2^36091080 is an apocalyptic number.

36091080 is a gapful number since it is divisible by the number (30) 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 36091080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60687900).

36091080 is an abundant number, since it is smaller than the sum of its proper divisors (85284720).

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

36091080 is a wasteful number, since it uses less digits than its factorization.

36091080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 36091080 is about 6007.5852053883. The cubic root of 36091080 is about 330.4709529136.

The spelling of 36091080 in words is "thirty-six million, ninety-one thousand, eighty".