68315600 has 60 divisors (see below), whose sum is σ = 165057516. Its totient is φ = 27171840.

The previous prime is 68315593. The next prime is 68315603. The reversal of 68315600 is 651386.

It can be written as a sum of positive squares in 6 ways, for example, as 21904 + 68293696 = 148^2 + 8264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68315603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92834 + ... + 93566.

Almost surely, 2^68315600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82528758).

68315600 is an abundant number, since it is smaller than the sum of its proper divisors (96741916).

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

68315600 is a wasteful number, since it uses less digits than its factorization.

68315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 68315600 is about 8265.3251599680. The cubic root of 68315600 is about 408.7959918572.

Adding to 68315600 its reverse (651386), we get a palindrome (68966986).

The spelling of 68315600 in words is "sixty-eight million, three hundred fifteen thousand, six hundred".