68963200 has 96 divisors (see below), whose sum is σ = 177957360. Its totient is φ = 26357760.

The previous prime is 68963149. The next prime is 68963221. The reversal of 68963200 is 236986.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73132 + ... + 74068.

Almost surely, 2^68963200 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 68963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88978680).

68963200 is an abundant number, since it is smaller than the sum of its proper divisors (108994160).

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

68963200 is a wasteful number, since it uses less digits than its factorization.

68963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 68963200 is about 8304.4084677959. The cubic root of 68963200 is about 410.0836632758.

The spelling of 68963200 in words is "sixty-eight million, nine hundred sixty-three thousand, two hundred".