67133664 has 192 divisors, whose sum is σ = 217324800. Its totient is φ = 20030976.

The previous prime is 67133653. The next prime is 67133713. The reversal of 67133664 is 46633176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482907 + ... + 483045.

It is an arithmetic number, because the mean of its divisors is an integer number (1131900).

Almost surely, 2^67133664 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 67133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108662400).

67133664 is an abundant number, since it is smaller than the sum of its proper divisors (150191136).

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

67133664 is a wasteful number, since it uses less digits than its factorization.

67133664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 67133664 is about 8193.5135320569. The cubic root of 67133664 is about 406.4247215623.

The spelling of 67133664 in words is "sixty-seven million, one hundred thirty-three thousand, six hundred sixty-four".