68871200 has 144 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 24837120.

The previous prime is 68871197. The next prime is 68871241. The reversal of 68871200 is 217886.

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

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, 349502 + ... + 349698.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^68871200 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 68871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

68871200 is an abundant number, since it is smaller than the sum of its proper divisors (116741920).

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

68871200 is a wasteful number, since it uses less digits than its factorization.

68871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 68871200 is about 8298.8673926024. The cubic root of 68871200 is about 409.9012254622.

The spelling of 68871200 in words is "sixty-eight million, eight hundred seventy-one thousand, two hundred".