68530800 has 240 divisors, whose sum is σ = 247984128. Its totient is φ = 16051200.

The previous prime is 68530783. The next prime is 68530811. The reversal of 68530800 is 803586.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 358705 + ... + 358895.

Almost surely, 2^68530800 is an apocalyptic number.

68530800 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 68530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992064).

68530800 is an abundant number, since it is smaller than the sum of its proper divisors (179453328).

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

68530800 is a wasteful number, since it uses less digits than its factorization.

68530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 68530800 is about 8278.3331655594. Note that the first 3 decimals coincide. The cubic root of 68530800 is about 409.2247894023.

The spelling of 68530800 in words is "sixty-eight million, five hundred thirty thousand, eight hundred".