67661000 has 64 divisors (see below), whose sum is σ = 172748160. Its totient is φ = 24600000.

The previous prime is 67660993. The next prime is 67661021. The reversal of 67661000 is 16676.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7925 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (2699190).

Almost surely, 2^67661000 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 67661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86374080).

67661000 is an abundant number, since it is smaller than the sum of its proper divisors (105087160).

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

67661000 is a wasteful number, since it uses less digits than its factorization.

67661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 67661000 is about 8225.6306749088. The cubic root of 67661000 is about 407.4861048871.

Adding to 67661000 its reverse (16676), we get a palindrome (67677676).

The spelling of 67661000 in words is "sixty-seven million, six hundred sixty-one thousand".