1268527104 has 156 divisors (see below), whose sum is σ = 3947537776. Its totient is φ = 390168576.

The previous prime is 1268527093. The next prime is 1268527123. The reversal of 1268527104 is 4017258621.

1268527104 is a `hidden beast` number, since 1 + 26 + 8 + 527 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×1268527104² = 3218322027165253632, 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 11 ways as a sum of consecutive naturals, for example, 477909 + ... + 480555.

Almost surely, 2^1268527104 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 1268527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973768888).

1268527104 is an abundant number, since it is smaller than the sum of its proper divisors (2679010672).

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

1268527104 is a wasteful number, since it uses less digits than its factorization.

1268527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1268527104 is about 35616.3881380468. The cubic root of 1268527104 is about 1082.5133235332.

It can be divided in two parts, 126852 and 7104, that added together give a square (133956 = 366²).

The spelling of 1268527104 in words is "one billion, two hundred sixty-eight million, five hundred twenty-seven thousand, one hundred four".