68626688 has 72 divisors (see below), whose sum is σ = 156329208. Its totient is φ = 29786112.

The previous prime is 68626681. The next prime is 68626703. The reversal of 68626688 is 88662686.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 68425984 = 448^2 + 8272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68626681) 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, 55970 + ... + 57182.

It is an arithmetic number, because the mean of its divisors is an integer number (2171239).

Almost surely, 2^68626688 is an apocalyptic number.

68626688 is a gapful number since it is divisible by the number (68) 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 68626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78164604).

68626688 is an abundant number, since it is smaller than the sum of its proper divisors (87702520).

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

68626688 is a wasteful number, since it uses less digits than its factorization.

68626688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 68626688 is about 8284.1226451568. The cubic root of 68626688 is about 409.4155623076.

It can be divided in two parts, 68 and 626688, that multiplied together give a square (42614784 = 6528²).

The spelling of 68626688 in words is "sixty-eight million, six hundred twenty-six thousand, six hundred eighty-eight".