67905768 has 128 divisors (see below), whose sum is σ = 202464000. Its totient is φ = 18966528.

The previous prime is 67905763. The next prime is 67905823. The reversal of 67905768 is 86750976.

It is a super-2 number, since 2×67905768² = 9222386655339648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67905763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600880 + ... + 600992.

It is an arithmetic number, because the mean of its divisors is an integer number (1581750).

Almost surely, 2^67905768 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 67905768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101232000).

67905768 is an abundant number, since it is smaller than the sum of its proper divisors (134558232).

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

67905768 is a wasteful number, since it uses less digits than its factorization.

67905768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 67905768 is about 8240.4956161629. The cubic root of 67905768 is about 407.9768825810.

The spelling of 67905768 in words is "sixty-seven million, nine hundred five thousand, seven hundred sixty-eight".