268514100 has 54 divisors (see below), whose sum is σ = 841645350. Its totient is φ = 71603520.

The previous prime is 268514063. The next prime is 268514101. The reversal of 268514100 is 1415862.

It can be written as a sum of positive squares in 3 ways, for example, as 24029604 + 244484496 = 4902^2 + 15636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268514101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148275 + ... + 150074.

It is an arithmetic number, because the mean of its divisors is an integer number (15586025).

Almost surely, 2^268514100 is an apocalyptic number.

268514100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268514100 is an abundant number, since it is smaller than the sum of its proper divisors (573131250).

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

268514100 is a wasteful number, since it uses less digits than its factorization.

268514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298369 (or 298359 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 268514100 is about 16386.3998486550. The cubic root of 268514100 is about 645.1425680884.

Adding to 268514100 its reverse (1415862), we get a palindrome (269929962).

The spelling of 268514100 in words is "two hundred sixty-eight million, five hundred fourteen thousand, one hundred".