36967040 has 128 divisors (see below), whose sum is σ = 99144000. Its totient is φ = 13066240.

The previous prime is 36967039. The next prime is 36967043. The reversal of 36967040 is 4076963.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (36967043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415316 + ... + 415404.

Almost surely, 2^36967040 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 36967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49572000).

36967040 is an abundant number, since it is smaller than the sum of its proper divisors (62176960).

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

36967040 is a wasteful number, since it uses less digits than its factorization.

36967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 36967040 is about 6080.0526313511. The cubic root of 36967040 is about 333.1232097943.

The spelling of 36967040 in words is "thirty-six million, nine hundred sixty-seven thousand, forty".