68736300 has 144 divisors (see below), whose sum is σ = 216652800. Its totient is φ = 16761600.

The previous prime is 68736277. The next prime is 68736301. The reversal of 68736300 is 363786.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (68736301) by changing a digit.

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, 176506 + ... + 176894.

Almost surely, 2^68736300 is an apocalyptic number.

68736300 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 68736300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108326400).

68736300 is an abundant number, since it is smaller than the sum of its proper divisors (147916500).

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

68736300 is a wasteful number, since it uses less digits than its factorization.

68736300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 68736300 is about 8290.7357936434. The cubic root of 68736300 is about 409.6334220953.

The spelling of 68736300 in words is "sixty-eight million, seven hundred thirty-six thousand, three hundred".