36561168 has 240 divisors, whose sum is σ = 129991680. Its totient is φ = 9351936.

The previous prime is 36561127. The next prime is 36561181. The reversal of 36561168 is 86116563.

It is a happy number.

36561168 is a `hidden beast` number, since 36 + 5 + 611 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440455 + ... + 440537.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^36561168 is an apocalyptic number.

36561168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36561168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

36561168 is an abundant number, since it is smaller than the sum of its proper divisors (93430512).

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

36561168 is a wasteful number, since it uses less digits than its factorization.

36561168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 36561168 is about 6046.5831673764. The cubic root of 36561168 is about 331.8995680154.

The spelling of 36561168 in words is "thirty-six million, five hundred sixty-one thousand, one hundred sixty-eight".