1268072100 has 81 divisors (see below), whose sum is σ = 3978052897. Its totient is φ = 337867680.

The previous prime is 1268072077. The next prime is 1268072129. The reversal of 1268072100 is 12708621.

The square root of 1268072100 is 35610.

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

It can be written as a sum of positive squares in only one way, i.e., 456505956 + 811566144 = 21366^2 + 28488^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1067707 + ... + 1068893.

Almost surely, 2^1268072100 is an apocalyptic number.

1268072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1268072100 is the 35610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268072100

1268072100 is an abundant number, since it is smaller than the sum of its proper divisors (2709980797).

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

1268072100 is a wasteful number, since it uses less digits than its factorization.

1268072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 1268072100 is about 1082.3838802882.

The spelling of 1268072100 in words is "one billion, two hundred sixty-eight million, seventy-two thousand, one hundred".