68279904 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 17729280.

The previous prime is 68279873. The next prime is 68279917. The reversal of 68279904 is 40997286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 68279904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20637 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^68279904 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 68279904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

68279904 is an abundant number, since it is smaller than the sum of its proper divisors (173882016).

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

68279904 is a wasteful number, since it uses less digits than its factorization.

68279904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 68279904 is about 8263.1654951356. The cubic root of 68279904 is about 408.7247786250.

It can be divided in two parts, 68 and 279904, that added together give a palindrome (279972).

The spelling of 68279904 in words is "sixty-eight million, two hundred seventy-nine thousand, nine hundred four".