36618768 has 60 divisors (see below), whose sum is σ = 103466220. Its totient is φ = 12089088.

The previous prime is 36618749. The next prime is 36618787. The reversal of 36618768 is 86781663.

It is an interprime number because it is at equal distance from previous prime (36618749) and next prime (36618787).

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 17539344 = 4368^2 + 4188^2 .

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14530 + ... + 16862.

It is an arithmetic number, because the mean of its divisors is an integer number (1724437).

Almost surely, 2^36618768 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 36618768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51733110).

36618768 is an abundant number, since it is smaller than the sum of its proper divisors (66847452).

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

36618768 is a wasteful number, since it uses less digits than its factorization.

36618768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2447 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 36618768 is about 6051.3443134563. The cubic root of 36618768 is about 332.0737727384.

The spelling of 36618768 in words is "thirty-six million, six hundred eighteen thousand, seven hundred sixty-eight".