66967936 has 64 divisors (see below), whose sum is σ = 157455360. Its totient is φ = 27763200.

The previous prime is 66967921. The next prime is 66967939. The reversal of 66967936 is 63976966.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66967939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26571 + ... + 28981.

It is an arithmetic number, because the mean of its divisors is an integer number (2460240).

Almost surely, 2^66967936 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 66967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78727680).

66967936 is an abundant number, since it is smaller than the sum of its proper divisors (90487424).

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

66967936 is a wasteful number, since it uses less digits than its factorization.

66967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2451 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 52.

The square root of 66967936 is about 8183.3939169516. The cubic root of 66967936 is about 406.0900089210.

The spelling of 66967936 in words is "sixty-six million, nine hundred sixty-seven thousand, nine hundred thirty-six".