1268691300 has 216 divisors, whose sum is σ = 4257430632. Its totient is φ = 314880000.

The previous prime is 1268691253. The next prime is 1268691311. The reversal of 1268691300 is 31968621.

1268691300 is a `hidden beast` number, since 1 + 268 + 6 + 91 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 55980324 + 1212710976 = 7482^2 + 34824^2 .

It is a super-2 number, since 2×1268691300² = 3219155229391380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1544890 + ... + 1545710.

It is an arithmetic number, because the mean of its divisors is an integer number (19710327).

Almost surely, 2^1268691300 is an apocalyptic number.

1268691300 is a gapful number since it is divisible by the number (10) 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 1268691300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128715316).

1268691300 is an abundant number, since it is smaller than the sum of its proper divisors (2988739332).

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

1268691300 is a wasteful number, since it uses less digits than its factorization.

1268691300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1268691300 is about 35618.6931259416. The cubic root of 1268691300 is about 1082.5600277486.

The spelling of 1268691300 in words is "one billion, two hundred sixty-eight million, six hundred ninety-one thousand, three hundred".