67806960 has 160 divisors (see below), whose sum is σ = 229651968. Its totient is φ = 16450560.

The previous prime is 67806919. The next prime is 67806971. The reversal of 67806960 is 6960876.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321255 + ... + 321465.

Almost surely, 2^67806960 is an apocalyptic number.

67806960 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 67806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114825984).

67806960 is an abundant number, since it is smaller than the sum of its proper divisors (161845008).

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

67806960 is a wasteful number, since it uses less digits than its factorization.

67806960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 67806960 is about 8234.4981632155. The cubic root of 67806960 is about 407.7789075103.

The spelling of 67806960 in words is "sixty-seven million, eight hundred six thousand, nine hundred sixty".