36540880 has 40 divisors (see below), whose sum is σ = 86135112. Its totient is φ = 14413824.

The previous prime is 36540877. The next prime is 36540893. The reversal of 36540880 is 8804563.

It can be written as a sum of positive squares in 4 ways, for example, as 15085456 + 21455424 = 3884^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×36540880² = 2670471822348800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2712 + ... + 8968.

Almost surely, 2^36540880 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 36540880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43067556).

36540880 is an abundant number, since it is smaller than the sum of its proper divisors (49594232).

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

36540880 is a wasteful number, since it uses less digits than its factorization.

36540880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 36540880 is about 6044.9052928892. The cubic root of 36540880 is about 331.8381656707.

The spelling of 36540880 in words is "thirty-six million, five hundred forty thousand, eight hundred eighty".