36636020 has 48 divisors (see below), whose sum is σ = 81965520. Its totient is φ = 13707264.

The previous prime is 36636011. The next prime is 36636023. The reversal of 36636020 is 2063663.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2085136 + 34550884 = 1444^2 + 5878^2 .

It is a super-2 number, since 2×36636020² = 2684395922880800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36636023) 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, 93986 + ... + 94374.

It is an arithmetic number, because the mean of its divisors is an integer number (1707615).

Almost surely, 2^36636020 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 36636020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982760).

36636020 is an abundant number, since it is smaller than the sum of its proper divisors (45329500).

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

36636020 is a wasteful number, since it uses less digits than its factorization.

36636020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 36636020 is about 6052.7696139866. The cubic root of 36636020 is about 332.1259139180.

Adding to 36636020 its reverse (2063663), we get a palindrome (38699683).

It can be divided in two parts, 36 and 636020, that added together give a cube (636056 = 86³).

The spelling of 36636020 in words is "thirty-six million, six hundred thirty-six thousand, twenty".