36166688 has 48 divisors (see below), whose sum is σ = 73664640. Its totient is φ = 17469696.

The previous prime is 36166661. The next prime is 36166721. The reversal of 36166688 is 88666163.

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, 208970 + ... + 209142.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2^36166688 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 36166688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832320).

36166688 is an abundant number, since it is smaller than the sum of its proper divisors (37497952).

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

36166688 is a wasteful number, since it uses less digits than its factorization.

36166688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 36166688 is about 6013.8746245661. The cubic root of 36166688 is about 330.7015622498.

The spelling of 36166688 in words is "thirty-six million, one hundred sixty-six thousand, six hundred eighty-eight".