36268848 has 120 divisors (see below), whose sum is σ = 126587136. Its totient is φ = 9417600.

The previous prime is 36268847. The next prime is 36268849. The reversal of 36268848 is 84886263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36268847) and next prime (36268849).

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

It is not an unprimeable number, because it can be changed into a prime (36268847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9453 + ... + 12723.

Almost surely, 2^36268848 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 36268848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63293568).

36268848 is an abundant number, since it is smaller than the sum of its proper divisors (90318288).

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

36268848 is a wasteful number, since it uses less digits than its factorization.

36268848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3294 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 36268848 is about 6022.3623271935. The cubic root of 36268848 is about 331.0126469613.

The spelling of 36268848 in words is "thirty-six million, two hundred sixty-eight thousand, eight hundred forty-eight".