68814100 has 72 divisors (see below), whose sum is σ = 157411800. Its totient is φ = 26073600.

The previous prime is 68814077. The next prime is 68814101. The reversal of 68814100 is 141886.

It can be written as a sum of positive squares in 12 ways, for example, as 46403344 + 22410756 = 6812^2 + 4734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68814101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176706 + ... + 177094.

It is an arithmetic number, because the mean of its divisors is an integer number (2186275).

Almost surely, 2^68814100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68814100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78705900).

68814100 is an abundant number, since it is smaller than the sum of its proper divisors (88597700).

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

68814100 is a wasteful number, since it uses less digits than its factorization.

68814100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 68814100 is about 8295.4264507619. The cubic root of 68814100 is about 409.7879133119.

Adding to 68814100 its reverse (141886), we get a palindrome (68955986).

The spelling of 68814100 in words is "sixty-eight million, eight hundred fourteen thousand, one hundred".