36687168 has 168 divisors, whose sum is σ = 125000512. Its totient is φ = 10450944.

The previous prime is 36687163. The next prime is 36687179. The reversal of 36687168 is 86178663.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36687163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108696 + ... + 109032.

Almost surely, 2^36687168 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 36687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62500256).

36687168 is an abundant number, since it is smaller than the sum of its proper divisors (88313344).

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

36687168 is an equidigital number, since it uses as much as digits as its factorization.

36687168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

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

The square root of 36687168 is about 6056.9933135179. The cubic root of 36687168 is about 332.2804037421.

The spelling of 36687168 in words is "thirty-six million, six hundred eighty-seven thousand, one hundred sixty-eight".