36295168 has 160 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 13271040.

The previous prime is 36295121. The next prime is 36295213. The reversal of 36295168 is 86159263.

It is a self number, because there is not a number n which added to its sum of digits gives 36295168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885228 + ... + 885268.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 2^36295168 is an apocalyptic number.

36295168 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 36295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

36295168 is an abundant number, since it is smaller than the sum of its proper divisors (59948672).

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

36295168 is a wasteful number, since it uses less digits than its factorization.

36295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 36295168 is about 6024.5471199087. The cubic root of 36295168 is about 331.0926986376.

It can be divided in two parts, 36295 and 168, that added together give a palindrome (36463).

The spelling of 36295168 in words is "thirty-six million, two hundred ninety-five thousand, one hundred sixty-eight".