36163584 has 130 divisors (see below), whose sum is σ = 109022210. Its totient is φ = 11943936.

The previous prime is 36163583. The next prime is 36163591. The reversal of 36163584 is 48536163.

36163584 is a `hidden beast` number, since 3 + 616 + 35 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 2985984 = 5760^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36163583) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331722 + ... + 331830.

Almost surely, 2^36163584 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 36163584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54511105).

36163584 is an abundant number, since it is smaller than the sum of its proper divisors (72858626).

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

36163584 is an equidigital number, since it uses as much as digits as its factorization.

36163584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 36163584 is about 6013.6165491325. The cubic root of 36163584 is about 330.6921011769.

The spelling of 36163584 in words is "thirty-six million, one hundred sixty-three thousand, five hundred eighty-four".