36668576 has 48 divisors (see below), whose sum is σ = 82926144. Its totient is φ = 15634944.

The previous prime is 36668573. The next prime is 36668587. The reversal of 36668576 is 67586663.

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 36668576.

It is not an unprimeable number, because it can be changed into a prime (36668573) 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, 69851 + ... + 70373.

It is an arithmetic number, because the mean of its divisors is an integer number (1727628).

Almost surely, 2^36668576 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 36668576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41463072).

36668576 is an abundant number, since it is smaller than the sum of its proper divisors (46257568).

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

36668576 is a wasteful number, since it uses less digits than its factorization.

36668576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The square root of 36668576 is about 6055.4583641538. The cubic root of 36668576 is about 332.2242642119.

The spelling of 36668576 in words is "thirty-six million, six hundred sixty-eight thousand, five hundred seventy-six".