67668660 has 144 divisors (see below), whose sum is σ = 216233472. Its totient is φ = 17107200.

The previous prime is 67668637. The next prime is 67668683. The reversal of 67668660 is 6686676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67668637) and next prime (67668683).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373770 + ... + 373950.

Almost surely, 2^67668660 is an apocalyptic number.

67668660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67668660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108116736).

67668660 is an abundant number, since it is smaller than the sum of its proper divisors (148564812).

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

67668660 is a wasteful number, since it uses less digits than its factorization.

67668660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 67668660 is about 8226.0962795241. The cubic root of 67668660 is about 407.5014816713.

The spelling of 67668660 in words is "sixty-seven million, six hundred sixty-eight thousand, six hundred sixty".