36866128 has 30 divisors (see below), whose sum is σ = 77105742. Its totient is φ = 16974720.

The previous prime is 36866119. The next prime is 36866129. The reversal of 36866128 is 82166863.

It can be written as a sum of positive squares in 3 ways, for example, as 9072144 + 27793984 = 3012^2 + 5272^2 .

It is a super-2 number, since 2×36866128² = 2718222787424768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36866129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87358 + ... + 87778.

Almost surely, 2^36866128 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 36866128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38552871).

36866128 is an abundant number, since it is smaller than the sum of its proper divisors (40239614).

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

36866128 is an equidigital number, since it uses as much as digits as its factorization.

36866128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 436 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 36866128 is about 6071.7483478814. The cubic root of 36866128 is about 332.8198155269.

The spelling of 36866128 in words is "thirty-six million, eight hundred sixty-six thousand, one hundred twenty-eight".