68050800 has 120 divisors (see below), whose sum is σ = 242248880. Its totient is φ = 18144000.

The previous prime is 68050793. The next prime is 68050831. The reversal of 68050800 is 805086.

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

It is a super-2 number, since 2×68050800² = 9261822761280000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7650 + ... + 13950.

Almost surely, 2^68050800 is an apocalyptic number.

68050800 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 68050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121124440).

68050800 is an abundant number, since it is smaller than the sum of its proper divisors (174198080).

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

68050800 is a wasteful number, since it uses less digits than its factorization.

68050800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68050800 is about 8249.2908786150. The cubic root of 68050800 is about 408.2671261069.

Adding to 68050800 its reverse (805086), we get a palindrome (68855886).

The spelling of 68050800 in words is "sixty-eight million, fifty thousand, eight hundred".