68979200 has 120 divisors (see below), whose sum is σ = 181525212. Its totient is φ = 25886720.

The previous prime is 68979199. The next prime is 68979223. The reversal of 68979200 is 297986.

It can be written as a sum of positive squares in 6 ways, for example, as 16908544 + 52070656 = 4112^2 + 7216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217442 + ... + 217758.

Almost surely, 2^68979200 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 68979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90762606).

68979200 is an abundant number, since it is smaller than the sum of its proper divisors (112546012).

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

68979200 is a wasteful number, since it uses less digits than its factorization.

68979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 68979200 is about 8305.3717556772. The cubic root of 68979200 is about 410.1153750257.

It can be divided in two parts, 68 and 979200, that multiplied together give a square (66585600 = 8160²).

The spelling of 68979200 in words is "sixty-eight million, nine hundred seventy-nine thousand, two hundred".