67568400 has 135 divisors (see below), whose sum is σ = 236205151. Its totient is φ = 17886720.

The previous prime is 67568377. The next prime is 67568441. The reversal of 67568400 is 486576.

It is a happy number.

The square root of 67568400 is 8220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 67371264 = 444^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 493132 + ... + 493268.

Almost surely, 2^67568400 is an apocalyptic number.

67568400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

67568400 is the 8220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67568400

67568400 is an abundant number, since it is smaller than the sum of its proper divisors (168636751).

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

67568400 is a wasteful number, since it uses less digits than its factorization.

67568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 67568400 is about 407.3001265532.

Multiplying 67568400 by its sum of digits (36), we get a square (2432462400 = 49320²).

67568400 divided by its sum of digits (36) gives a square (1876900 = 1370²).

The spelling of 67568400 in words is "sixty-seven million, five hundred sixty-eight thousand, four hundred".