68031600 has 360 divisors, whose sum is σ = 276076080. Its totient is φ = 14192640.

The previous prime is 68031583. The next prime is 68031611. The reversal of 68031600 is 613086.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764356 + ... + 764444.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^68031600 is an apocalyptic number.

68031600 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 68031600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

68031600 is an abundant number, since it is smaller than the sum of its proper divisors (208044480).

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

68031600 is a wasteful number, since it uses less digits than its factorization.

68031600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 68031600 is about 8248.1270601270. The cubic root of 68031600 is about 408.2287260383.

Adding to 68031600 its reverse (613086), we get a palindrome (68644686).

The spelling of 68031600 in words is "sixty-eight million, thirty-one thousand, six hundred".