1268486892 has 360 divisors, whose sum is σ = 3994045440. Its totient is φ = 348986880.

The previous prime is 1268486881. The next prime is 1268486899. The reversal of 1268486892 is 2986848621.

1268486892 is a `hidden beast` number, since 12 + 68 + 486 + 8 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1268486899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40918917 + ... + 40918947.

Almost surely, 2^1268486892 is an apocalyptic number.

1268486892 is a gapful number since it is divisible by the number (12) 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 1268486892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997022720).

1268486892 is an abundant number, since it is smaller than the sum of its proper divisors (2725558548).

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

1268486892 is a wasteful number, since it uses less digits than its factorization.

1268486892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 1268486892 is about 35615.8236181616. The cubic root of 1268486892 is about 1082.5018849429.

The spelling of 1268486892 in words is "one billion, two hundred sixty-eight million, four hundred eighty-six thousand, eight hundred ninety-two".