68452200 has 144 divisors (see below), whose sum is σ = 243516780. Its totient is φ = 17172480.

The previous prime is 68452199. The next prime is 68452201. The reversal of 68452200 is 225486.

68452200 is a `hidden beast` number, since 6 + 8 + 452 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (68452199) and next prime (68452201).

It can be written as a sum of positive squares in 6 ways, for example, as 45239076 + 23213124 = 6726^2 + 4818^2 .

It is not an unprimeable number, because it can be changed into a prime (68452201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29482 + ... + 31718.

Almost surely, 2^68452200 is an apocalyptic number.

68452200 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 68452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121758390).

68452200 is an abundant number, since it is smaller than the sum of its proper divisors (175064580).

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

68452200 is a wasteful number, since it uses less digits than its factorization.

68452200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68452200 is about 8273.5844710742. The cubic root of 68452200 is about 409.0682788828.

Adding to 68452200 its reverse (225486), we get a palindrome (68677686).

It can be divided in two parts, 6845 and 2200, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 68452200 in words is "sixty-eight million, four hundred fifty-two thousand, two hundred".