36887268 has 48 divisors (see below), whose sum is σ = 94764096. Its totient is φ = 11074560.

The previous prime is 36887251. The next prime is 36887293. The reversal of 36887268 is 86278863.

It is a happy number.

36887268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13680 + ... + 16152.

It is an arithmetic number, because the mean of its divisors is an integer number (1974252).

Almost surely, 2^36887268 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 36887268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47382048).

36887268 is an abundant number, since it is smaller than the sum of its proper divisors (57876828).

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

36887268 is a wasteful number, since it uses less digits than its factorization.

36887268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2602 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 36887268 is about 6073.4889478783. The cubic root of 36887268 is about 332.8834192273.

The spelling of 36887268 in words is "thirty-six million, eight hundred eighty-seven thousand, two hundred sixty-eight".