68004160 has 84 divisors (see below), whose sum is σ = 188416692. Its totient is φ = 23310336.

The previous prime is 68004151. The next prime is 68004161. The reversal of 68004160 is 6140086.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 58859584 = 3024^2 + 7672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68004161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13512 + ... + 17848.

Almost surely, 2^68004160 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 68004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94208346).

68004160 is an abundant number, since it is smaller than the sum of its proper divisors (120412532).

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

68004160 is a wasteful number, since it uses less digits than its factorization.

68004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 68004160 is about 8246.4634844277. The cubic root of 68004160 is about 408.1738333971.

The spelling of 68004160 in words is "sixty-eight million, four thousand, one hundred sixty".