36668840 has 64 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 13420800.

The previous prime is 36668833. The next prime is 36668843. The reversal of 36668840 is 4886663.

It is not an unprimeable number, because it can be changed into a prime (36668843) 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, 78287 + ... + 78753.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^36668840 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 36668840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

36668840 is an abundant number, since it is smaller than the sum of its proper divisors (52962520).

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

36668840 is a wasteful number, since it uses less digits than its factorization.

36668840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 36668840 is about 6055.4801626295. The cubic root of 36668840 is about 332.2250615067.

The spelling of 36668840 in words is "thirty-six million, six hundred sixty-eight thousand, eight hundred forty".