68947200 has 540 divisors, whose sum is σ = 306681760. Its totient is φ = 14929920.

The previous prime is 68947163. The next prime is 68947201. The reversal of 68947200 is 274986.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68947201) 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 59 ways as a sum of consecutive naturals, for example, 3628791 + ... + 3628809.

Almost surely, 2^68947200 is an apocalyptic number.

68947200 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 68947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153340880).

68947200 is an abundant number, since it is smaller than the sum of its proper divisors (237734560).

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

68947200 is a wasteful number, since it uses less digits than its factorization.

68947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68947200 is about 8303.4450681630. The cubic root of 68947200 is about 410.0519466206.

68947200 divided by its product of nonzero digits (24192) gives a triangular number (2850 = T₇₅).

The spelling of 68947200 in words is "sixty-eight million, nine hundred forty-seven thousand, two hundred".