36795168 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 11923200.

The previous prime is 36795167. The next prime is 36795169. The reversal of 36795168 is 86159763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36795167) and next prime (36795169).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×36795168³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36795167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31393 + ... + 32543.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^36795168 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 36795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

36795168 is an abundant number, since it is smaller than the sum of its proper divisors (73520352).

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

36795168 is a wasteful number, since it uses less digits than its factorization.

36795168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1193 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 36795168 is about 6065.9020763609. The cubic root of 36795168 is about 332.6061409496.

It can be divided in two parts, 36795 and 168, that added together give a palindrome (36963).

The spelling of 36795168 in words is "thirty-six million, seven hundred ninety-five thousand, one hundred sixty-eight".