67661360 has 160 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 22708224.

The previous prime is 67661359. The next prime is 67661371. The reversal of 67661360 is 6316676.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 67661360.

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, 760196 + ... + 760284.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^67661360 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 67661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

67661360 is an abundant number, since it is smaller than the sum of its proper divisors (117951760).

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

67661360 is a wasteful number, since it uses less digits than its factorization.

67661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

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

The square root of 67661360 is about 8225.6525577002. The cubic root of 67661360 is about 407.4868275818.

The spelling of 67661360 in words is "sixty-seven million, six hundred sixty-one thousand, three hundred sixty".