36683920 has 80 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 11607552.

The previous prime is 36683903. The next prime is 36683921. The reversal of 36683920 is 2938663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 36683920.

It is not an unprimeable number, because it can be changed into a prime (36683921) 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, 4761 + ... + 9799.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^36683920 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 36683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

36683920 is an abundant number, since it is smaller than the sum of its proper divisors (68309360).

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

36683920 is a wasteful number, since it uses less digits than its factorization.

36683920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 36683920 is about 6056.7251877562. The cubic root of 36683920 is about 332.2705976013.

The spelling of 36683920 in words is "thirty-six million, six hundred eighty-three thousand, nine hundred twenty".