68707200 has 192 divisors, whose sum is σ = 240185520. Its totient is φ = 17203200.

The previous prime is 68707193. The next prime is 68707207. The reversal of 68707200 is 270786.

It is an interprime number because it is at equal distance from previous prime (68707193) and next prime (68707207).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68707207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162990 + ... + 163410.

Almost surely, 2^68707200 is an apocalyptic number.

68707200 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 68707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120092760).

68707200 is an abundant number, since it is smaller than the sum of its proper divisors (171478320).

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

68707200 is a wasteful number, since it uses less digits than its factorization.

68707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 68707200 is about 8288.9806369662. The cubic root of 68707200 is about 409.5756068644.

Adding to 68707200 its reverse (270786), we get a palindrome (68977986).

The spelling of 68707200 in words is "sixty-eight million, seven hundred seven thousand, two hundred".