68835200 has 144 divisors (see below), whose sum is σ = 198257400. Its totient is φ = 23546880.

The previous prime is 68835199. The next prime is 68835203. The reversal of 68835200 is 253886.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68835203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156581 + ... + 157019.

Almost surely, 2^68835200 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 68835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99128700).

68835200 is an abundant number, since it is smaller than the sum of its proper divisors (129422200).

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

68835200 is a wasteful number, since it uses less digits than its factorization.

68835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 68835200 is about 8296.6981384163. The cubic root of 68835200 is about 409.8297925265.

The spelling of 68835200 in words is "sixty-eight million, eight hundred thirty-five thousand, two hundred".