68648448 has 160 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 19496960.

The previous prime is 68648441. The next prime is 68648449. The reversal of 68648448 is 84484686.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

Its product of digits (1179648) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 68648397 and 68648406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68648441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287113 + ... + 287351.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^68648448 is an apocalyptic number.

68648448 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 68648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

68648448 is an abundant number, since it is smaller than the sum of its proper divisors (143480832).

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

68648448 is a wasteful number, since it uses less digits than its factorization.

68648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 68648448 is about 8285.4358968011. The cubic root of 68648448 is about 409.4588299316.

It can be divided in two parts, 68648 and 448, that added together give a palindrome (69096).

The spelling of 68648448 in words is "sixty-eight million, six hundred forty-eight thousand, four hundred forty-eight".