36050580 has 72 divisors (see below), whose sum is σ = 112329672. Its totient is φ = 9351936.

The previous prime is 36050563. The next prime is 36050587. The reversal of 36050580 is 8505063.

36050580 is a `hidden beast` number, since 3 + 605 + 0 + 58 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5447556 + 30603024 = 2334^2 + 5532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36050587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3954 + ... + 9366.

Almost surely, 2^36050580 is an apocalyptic number.

36050580 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 36050580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56164836).

36050580 is an abundant number, since it is smaller than the sum of its proper divisors (76279092).

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

36050580 is a wasteful number, since it uses less digits than its factorization.

36050580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 36050580 is about 6004.2135205204. The cubic root of 36050580 is about 330.3472927822.

The spelling of 36050580 in words is "thirty-six million, fifty thousand, five hundred eighty".