36316960 has 48 divisors (see below), whose sum is σ = 87228792. Its totient is φ = 14288640.

The previous prime is 36316949. The next prime is 36316963. The reversal of 36316960 is 6961363.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1317904 + 34999056 = 1148^2 + 5916^2 .

It is not an unprimeable number, because it can be changed into a prime (36316963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595330 + ... + 595390.

Almost surely, 2^36316960 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 36316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43614396).

36316960 is an abundant number, since it is smaller than the sum of its proper divisors (50911832).

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

36316960 is an frugal number, since it uses more digits than its factorization.

36316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 36316960 is about 6026.3554491915. The cubic root of 36316960 is about 331.1589492246.

The spelling of 36316960 in words is "thirty-six million, three hundred sixteen thousand, nine hundred sixty".