36080980 has 48 divisors (see below), whose sum is σ = 82759824. Its totient is φ = 13132800.

The previous prime is 36080977. The next prime is 36080983. The reversal of 36080980 is 8908063.

It is an interprime number because it is at equal distance from previous prime (36080977) and next prime (36080983).

It can be written as a sum of positive squares in 8 ways, for example, as 7650756 + 28430224 = 2766^2 + 5332^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36080983) 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 15 ways as a sum of consecutive naturals, for example, 18030 + ... + 19930.

It is an arithmetic number, because the mean of its divisors is an integer number (1724163).

Almost surely, 2^36080980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36080980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41379912).

36080980 is an abundant number, since it is smaller than the sum of its proper divisors (46678844).

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

36080980 is a wasteful number, since it uses less digits than its factorization.

36080980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 36080980 is about 6006.7445425954. The cubic root of 36080980 is about 330.4401228763.

The spelling of 36080980 in words is "thirty-six million, eighty thousand, nine hundred eighty".