68411200 has 252 divisors, whose sum is σ = 207495648. Its totient is φ = 21964800.

The previous prime is 68411197. The next prime is 68411207. The reversal of 68411200 is 211486.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68411207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2974389 + ... + 2974411.

Almost surely, 2^68411200 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 68411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103747824).

68411200 is an abundant number, since it is smaller than the sum of its proper divisors (139084448).

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

68411200 is a wasteful number, since it uses less digits than its factorization.

68411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 68411200 is about 8271.1063347052. The cubic root of 68411200 is about 408.9865909844.

Adding to 68411200 its reverse (211486), we get a palindrome (68622686).

The spelling of 68411200 in words is "sixty-eight million, four hundred eleven thousand, two hundred".