68262400 has 60 divisors (see below), whose sum is σ = 169157142. Its totient is φ = 27299840.

The previous prime is 68262391. The next prime is 68262409. The reversal of 68262400 is 426286.

It is an interprime number because it is at equal distance from previous prime (68262391) and next prime (68262409).

It can be written as a sum of positive squares in 3 ways, for example, as 66324736 + 1937664 = 8144^2 + 1392^2 .

It is not an unprimeable number, because it can be changed into a prime (68262409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10134 + ... + 15466.

Almost surely, 2^68262400 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 68262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84578571).

68262400 is an abundant number, since it is smaller than the sum of its proper divisors (100894742).

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

68262400 is an equidigital number, since it uses as much as digits as its factorization.

68262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 68262400 is about 8262.1062689849. The cubic root of 68262400 is about 408.6898492166.

Adding to 68262400 its reverse (426286), we get a palindrome (68688686).

The spelling of 68262400 in words is "sixty-eight million, two hundred sixty-two thousand, four hundred".