68004576 has 96 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 21928320.

The previous prime is 68004493. The next prime is 68004593. The reversal of 68004576 is 67540086.

It is a happy number.

68004576 is a `hidden beast` number, since 6 + 80 + 0 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68004576.

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 15 ways as a sum of consecutive naturals, for example, 25515 + ... + 28053.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2^68004576 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 68004576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

68004576 is an abundant number, since it is smaller than the sum of its proper divisors (136821024).

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

68004576 is a wasteful number, since it uses less digits than its factorization.

68004576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68004576 is about 8246.4887073227. The cubic root of 68004576 is about 408.1746656990.

The spelling of 68004576 in words is "sixty-eight million, four thousand, five hundred seventy-six".