68993200 has 60 divisors (see below), whose sum is σ = 167098680. Its totient is φ = 27374080.

The previous prime is 68993159. The next prime is 68993209. The reversal of 68993200 is 239986.

It is a self number, because there is not a number n which added to its sum of digits gives 68993200.

It is not an unprimeable number, because it can be changed into a prime (68993209) 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, 54171 + ... + 55429.

It is an arithmetic number, because the mean of its divisors is an integer number (2784978).

Almost surely, 2^68993200 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 68993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83549340).

68993200 is an abundant number, since it is smaller than the sum of its proper divisors (98105480).

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

68993200 is a wasteful number, since it uses less digits than its factorization.

68993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 68993200 is about 8306.2145409326. The cubic root of 68993200 is about 410.1431187844.

The spelling of 68993200 in words is "sixty-eight million, nine hundred ninety-three thousand, two hundred".