36531264 has 168 divisors, whose sum is σ = 123005088. Its totient is φ = 9461760.

The previous prime is 36531251. The next prime is 36531269. The reversal of 36531264 is 46213563.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (36531269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103312 + ... + 103664.

Almost surely, 2^36531264 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 36531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61502544).

36531264 is an abundant number, since it is smaller than the sum of its proper divisors (86473824).

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

36531264 is a wasteful number, since it uses less digits than its factorization.

36531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 36531264 is about 6044.1098600207. The cubic root of 36531264 is about 331.8090545696.

The spelling of 36531264 in words is "thirty-six million, five hundred thirty-one thousand, two hundred sixty-four".