67821768 has 96 divisors (see below), whose sum is σ = 213969600. Its totient is φ = 19004544.

The previous prime is 67821757. The next prime is 67821791. The reversal of 67821768 is 86712876.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25443 + ... + 27981.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2^67821768 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 67821768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

67821768 is an abundant number, since it is smaller than the sum of its proper divisors (146147832).

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

67821768 is a wasteful number, since it uses less digits than its factorization.

67821768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2604 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 67821768 is about 8235.3972581777. The cubic root of 67821768 is about 407.8085895692.

The spelling of 67821768 in words is "sixty-seven million, eight hundred twenty-one thousand, seven hundred sixty-eight".