68236800 has 120 divisors (see below), whose sum is σ = 225542856. Its totient is φ = 18186240.

The previous prime is 68236787. The next prime is 68236801. The reversal of 68236800 is 863286.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68236801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37512 + ... + 39288.

Almost surely, 2^68236800 is an apocalyptic number.

68236800 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 68236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112771428).

68236800 is an abundant number, since it is smaller than the sum of its proper divisors (157306056).

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

68236800 is a wasteful number, since it uses less digits than its factorization.

68236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68236800 is about 8260.5568819541. The cubic root of 68236800 is about 408.6387534044.

The spelling of 68236800 in words is "sixty-eight million, two hundred thirty-six thousand, eight hundred".