36267088 has 80 divisors (see below), whose sum is σ = 83869632. Its totient is φ = 15100800.

The previous prime is 36267073. The next prime is 36267089. The reversal of 36267088 is 88076263.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 36267088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36267089) 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, 276783 + ... + 276913.

Almost surely, 2^36267088 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 36267088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41934816).

36267088 is an abundant number, since it is smaller than the sum of its proper divisors (47602544).

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

36267088 is a wasteful number, since it uses less digits than its factorization.

36267088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 36267088 is about 6022.2162033590. The cubic root of 36267088 is about 331.0072925804.

The spelling of 36267088 in words is "thirty-six million, two hundred sixty-seven thousand, eighty-eight".