36327680 has 72 divisors (see below), whose sum is σ = 88190424. Its totient is φ = 14336000.

The previous prime is 36327667. The next prime is 36327701. The reversal of 36327680 is 8672363.

It can be written as a sum of positive squares in 4 ways, for example, as 15241216 + 21086464 = 3904^2 + 4592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36327680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129140 + ... + 129420.

It is an arithmetic number, because the mean of its divisors is an integer number (1224867).

Almost surely, 2^36327680 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 36327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44095212).

36327680 is an abundant number, since it is smaller than the sum of its proper divisors (51862744).

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

36327680 is a wasteful number, since it uses less digits than its factorization.

36327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 36327680 is about 6027.2448100272. The cubic root of 36327680 is about 331.1915297296.

The spelling of 36327680 in words is "thirty-six million, three hundred twenty-seven thousand, six hundred eighty".