68114688 has 72 divisors (see below), whose sum is σ = 187197696. Its totient is φ = 21964800.

The previous prime is 68114687. The next prime is 68114689. The reversal of 68114688 is 88641186.

It is an interprime number because it is at equal distance from previous prime (68114687) and next prime (68114689).

It is a super-2 number, since 2×68114688² = 9279221442674688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (68114687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22378 + ... + 25238.

It is an arithmetic number, because the mean of its divisors is an integer number (2599968).

Almost surely, 2^68114688 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 68114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93598848).

68114688 is an abundant number, since it is smaller than the sum of its proper divisors (119083008).

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

68114688 is a wasteful number, since it uses less digits than its factorization.

68114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2897 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 68114688 is about 8253.1623030206. The cubic root of 68114688 is about 408.3948503551.

The spelling of 68114688 in words is "sixty-eight million, one hundred fourteen thousand, six hundred eighty-eight".