68261600 has 72 divisors (see below), whose sum is σ = 181816488. Its totient is φ = 24819200.

The previous prime is 68261593. The next prime is 68261603. The reversal of 68261600 is 616286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68261603) 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, 4922 + ... + 12678.

It is an arithmetic number, because the mean of its divisors is an integer number (2525229).

Almost surely, 2^68261600 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 68261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90908244).

68261600 is an abundant number, since it is smaller than the sum of its proper divisors (113554888).

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

68261600 is a wasteful number, since it uses less digits than its factorization.

68261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 68261600 is about 8262.0578550383. The cubic root of 68261600 is about 408.6882526658.

Adding to 68261600 its reverse (616286), we get a palindrome (68877886).

The spelling of 68261600 in words is "sixty-eight million, two hundred sixty-one thousand, six hundred".