36686624 has 48 divisors (see below), whose sum is σ = 80491320. Its totient is φ = 16343040.

The previous prime is 36686599. The next prime is 36686627. The reversal of 36686624 is 42668663.

It can be written as a sum of positive squares in 4 ways, for example, as 34339600 + 2347024 = 5860^2 + 1532^2 .

It is not an unprimeable number, because it can be changed into a prime (36686627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10544 + ... + 13584.

Almost surely, 2^36686624 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 36686624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40245660).

36686624 is an abundant number, since it is smaller than the sum of its proper divisors (43804696).

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

36686624 is a wasteful number, since it uses less digits than its factorization.

36686624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 36686624 is about 6056.9484065823. The cubic root of 36686624 is about 332.2787613746.

The spelling of 36686624 in words is "thirty-six million, six hundred eighty-six thousand, six hundred twenty-four".