68331600 has 360 divisors, whose sum is σ = 265851040. Its totient is φ = 16796160.

The previous prime is 68331589. The next prime is 68331623. The reversal of 68331600 is 613386.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1846782 + ... + 1846818.

Almost surely, 2^68331600 is an apocalyptic number.

68331600 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 68331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132925520).

68331600 is an abundant number, since it is smaller than the sum of its proper divisors (197519440).

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

68331600 is a wasteful number, since it uses less digits than its factorization.

68331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 68331600 is about 8266.2930023076. The cubic root of 68331600 is about 408.8279036768.

Adding to 68331600 its reverse (613386), we get a palindrome (68944986).

The spelling of 68331600 in words is "sixty-eight million, three hundred thirty-one thousand, six hundred".