68993600 has 168 divisors, whose sum is σ = 190487808. Its totient is φ = 24422400.

The previous prime is 68993591. The next prime is 68993627. The reversal of 68993600 is 639986.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644747 + ... + 644853.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^68993600 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 68993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

68993600 is an abundant number, since it is smaller than the sum of its proper divisors (121494208).

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

68993600 is a wasteful number, since it uses less digits than its factorization.

68993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 68993600 is about 8306.2386192548. The cubic root of 68993600 is about 410.1439114081.

The spelling of 68993600 in words is "sixty-eight million, nine hundred ninety-three thousand, six hundred".