68724100 has 27 divisors (see below), whose sum is σ = 149311407. Its totient is φ = 27456480.

The previous prime is 68724031. The next prime is 68724101. The reversal of 68724100 is 142786.

The square root of 68724100 is 8290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 298116 + 68425984 = 546^2 + 8272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68724101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82486 + ... + 83314.

Almost surely, 2^68724100 is an apocalyptic number.

68724100 is the 8290-th square number.

It is an amenable number.

68724100 is an abundant number, since it is smaller than the sum of its proper divisors (80587307).

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

68724100 is an equidigital number, since it uses as much as digits as its factorization.

68724100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 68724100 is about 409.6091853943.

Adding to 68724100 its reverse (142786), we get a palindrome (68866886).

The spelling of 68724100 in words is "sixty-eight million, seven hundred twenty-four thousand, one hundred".