68275800 has 144 divisors (see below), whose sum is σ = 232563240. Its totient is φ = 17948160.

The previous prime is 68275793. The next prime is 68275811. The reversal of 68275800 is 857286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149172 + ... + 149628.

Almost surely, 2^68275800 is an apocalyptic number.

68275800 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 68275800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281620).

68275800 is an abundant number, since it is smaller than the sum of its proper divisors (164287440).

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

68275800 is a wasteful number, since it uses less digits than its factorization.

68275800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 68275800 is about 8262.9171604222. The cubic root of 68275800 is about 408.7165895874.

The spelling of 68275800 in words is "sixty-eight million, two hundred seventy-five thousand, eight hundred".