68296800 has 288 divisors, whose sum is σ = 262483200. Its totient is φ = 15206400.

The previous prime is 68296793. The next prime is 68296801. The reversal of 68296800 is 869286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68296801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343101 + ... + 343299.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^68296800 is an apocalyptic number.

68296800 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 68296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

68296800 is an abundant number, since it is smaller than the sum of its proper divisors (194186400).

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

68296800 is a wasteful number, since it uses less digits than its factorization.

68296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 68296800 is about 8264.1878003830. The cubic root of 68296800 is about 408.7584891016.

It can be divided in two parts, 68296 and 800, that added together give a palindrome (69096).

The spelling of 68296800 in words is "sixty-eight million, two hundred ninety-six thousand, eight hundred".