68234400 has 324 divisors, whose sum is σ = 269072622. Its totient is φ = 16796160.

The previous prime is 68234393. The next prime is 68234407. The reversal of 68234400 is 443286.

It is an interprime number because it is at equal distance from previous prime (68234393) and next prime (68234407).

It can be written as a sum of positive squares in 3 ways, for example, as 37896336 + 30338064 = 6156^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68234407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5248794 + ... + 5248806.

Almost surely, 2^68234400 is an apocalyptic number.

68234400 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 68234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134536311).

68234400 is an abundant number, since it is smaller than the sum of its proper divisors (200838222).

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

68234400 is an equidigital number, since it uses as much as digits as its factorization.

68234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 68234400 is about 8260.4116120203. The cubic root of 68234400 is about 408.6339625169.

Adding to 68234400 its reverse (443286), we get a palindrome (68677686).

The spelling of 68234400 in words is "sixty-eight million, two hundred thirty-four thousand, four hundred".