36681640 has 16 divisors (see below), whose sum is σ = 82533780. Its totient is φ = 14672640.

The previous prime is 36681599. The next prime is 36681643. The reversal of 36681640 is 4618663.

It can be written as a sum of positive squares in 2 ways, for example, as 36409156 + 272484 = 6034^2 + 522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36681596 and 36681605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36681643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458481 + ... + 458560.

Almost surely, 2^36681640 is an apocalyptic number.

It is an amenable number.

36681640 is an abundant number, since it is smaller than the sum of its proper divisors (45852140).

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

36681640 is a wasteful number, since it uses less digits than its factorization.

36681640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917052 (or 917048 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 36681640 is about 6056.5369643056. The cubic root of 36681640 is about 332.2637136345.

The spelling of 36681640 in words is "thirty-six million, six hundred eighty-one thousand, six hundred forty".