68679200 has 54 divisors (see below), whose sum is σ = 168237279. Its totient is φ = 27377920.

The previous prime is 68679151. The next prime is 68679211. The reversal of 68679200 is 297686.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 59413264 + 9265936 = 7708^2 + 3044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5860.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 234254 + ... + 234546.

Almost surely, 2^68679200 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 68679200

68679200 is an abundant number, since it is smaller than the sum of its proper divisors (99558079).

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

68679200 is an equidigital number, since it uses as much as digits as its factorization.

68679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 68679200 is about 8287.2914755063. The cubic root of 68679200 is about 409.5199616763.

The spelling of 68679200 in words is "sixty-eight million, six hundred seventy-nine thousand, two hundred".