68811312 has 80 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 21563136.

The previous prime is 68811299. The next prime is 68811317. The reversal of 68811312 is 21311886.

It is a super-2 number, since 2×68811312² = 9469993318322688, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68811312.

It is not an unprimeable number, because it can be changed into a prime (68811317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179473 + ... + 179855.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^68811312 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 68811312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

68811312 is an abundant number, since it is smaller than the sum of its proper divisors (119748048).

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

68811312 is a wasteful number, since it uses less digits than its factorization.

68811312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 68811312 is about 8295.2584046550. The cubic root of 68811312 is about 409.7823790579.

The spelling of 68811312 in words is "sixty-eight million, eight hundred eleven thousand, three hundred twelve".