67633640 has 32 divisors (see below), whose sum is σ = 153691560. Its totient is φ = 26784000.

The previous prime is 67633627. The next prime is 67633649. The reversal of 67633640 is 4633676.

It can be written as a sum of positive squares in 4 ways, for example, as 66227044 + 1406596 = 8138^2 + 1186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67633640.

It is not an unprimeable number, because it can be changed into a prime (67633649) 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 7 ways as a sum of consecutive naturals, for example, 4331 + ... + 12410.

Almost surely, 2^67633640 is an apocalyptic number.

It is an amenable number.

67633640 is an abundant number, since it is smaller than the sum of its proper divisors (86057920).

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

67633640 is a wasteful number, since it uses less digits than its factorization.

67633640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16853 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 67633640 is about 8223.9674123868. The cubic root of 67633640 is about 407.4311725878.

The spelling of 67633640 in words is "sixty-seven million, six hundred thirty-three thousand, six hundred forty".