36027264 has 128 divisors (see below), whose sum is σ = 117895680. Its totient is φ = 9492480.

The previous prime is 36027263. The next prime is 36027281. The reversal of 36027264 is 46272063.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36027263) 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 15 ways as a sum of consecutive naturals, for example, 34429 + ... + 35459.

It is an arithmetic number, because the mean of its divisors is an integer number (921060).

Almost surely, 2^36027264 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 36027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58947840).

36027264 is an abundant number, since it is smaller than the sum of its proper divisors (81868416).

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

36027264 is a wasteful number, since it uses less digits than its factorization.

36027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 36027264 is about 6002.2715699975. The cubic root of 36027264 is about 330.2760591747.

The spelling of 36027264 in words is "thirty-six million, twenty-seven thousand, two hundred sixty-four".