36864268 has 48 divisors (see below), whose sum is σ = 76283200. Its totient is φ = 15579648.

The previous prime is 36864263. The next prime is 36864277. The reversal of 36864268 is 86246863.

It is not an unprimeable number, because it can be changed into a prime (36864263) 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, 132946 + ... + 133222.

Almost surely, 2^36864268 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 36864268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38141600).

36864268 is an abundant number, since it is smaller than the sum of its proper divisors (39418932).

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

36864268 is a wasteful number, since it uses less digits than its factorization.

36864268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 36864268 is about 6071.5951775460. The cubic root of 36864268 is about 332.8142182003.

The spelling of 36864268 in words is "thirty-six million, eight hundred sixty-four thousand, two hundred sixty-eight".