67661568 has 180 divisors, whose sum is σ = 218139768. Its totient is φ = 20736000.

The previous prime is 67661563. The next prime is 67661579. The reversal of 67661568 is 86516676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67661563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269443 + ... + 269693.

Almost surely, 2^67661568 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 67661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109069884).

67661568 is an abundant number, since it is smaller than the sum of its proper divisors (150478200).

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

67661568 is a wasteful number, since it uses less digits than its factorization.

67661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 67661568 is about 8225.6652010643. The cubic root of 67661568 is about 407.4872451376.

The spelling of 67661568 in words is "sixty-seven million, six hundred sixty-one thousand, five hundred sixty-eight".