36873616 has 40 divisors (see below), whose sum is σ = 79604280. Its totient is φ = 16429056.

The previous prime is 36873611. The next prime is 36873647. The reversal of 36873616 is 61637863.

It can be written as a sum of positive squares in 4 ways, for example, as 2016400 + 34857216 = 1420^2 + 5904^2 .

It is not an unprimeable number, because it can be changed into a prime (36873611) 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, 2976 + ... + 9088.

It is an arithmetic number, because the mean of its divisors is an integer number (1990107).

Almost surely, 2^36873616 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 36873616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39802140).

36873616 is an abundant number, since it is smaller than the sum of its proper divisors (42730664).

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

36873616 is a wasteful number, since it uses less digits than its factorization.

36873616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163 (or 6157 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 36873616 is about 6072.3649429197. The cubic root of 36873616 is about 332.8423473757.

It can be divided in two parts, 368 and 73616, that added together give a square (73984 = 272²).

The spelling of 36873616 in words is "thirty-six million, eight hundred seventy-three thousand, six hundred sixteen".