68719200 has 288 divisors, whose sum is σ = 258733440. Its totient is φ = 15667200.

The previous prime is 68719199. The next prime is 68719213. The reversal of 68719200 is 291786.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501532 + ... + 501668.

It is an arithmetic number, because the mean of its divisors is an integer number (898380).

Almost surely, 2^68719200 is an apocalyptic number.

68719200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

68719200 is an abundant number, since it is smaller than the sum of its proper divisors (190014240).

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

68719200 is a wasteful number, since it uses less digits than its factorization.

68719200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 68719200 is about 8289.7044579406. The cubic root of 68719200 is about 409.5994501742.

The spelling of 68719200 in words is "sixty-eight million, seven hundred nineteen thousand, two hundred".