1286088672 has 144 divisors (see below), whose sum is σ = 3782615760. Its totient is φ = 382187520.

The previous prime is 1286088659. The next prime is 1286088679. The reversal of 1286088672 is 2768806821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286088679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614604 + ... + 616692.

It is an arithmetic number, because the mean of its divisors is an integer number (26268165).

Almost surely, 2^1286088672 is an apocalyptic number.

1286088672 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 1286088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891307880).

1286088672 is an abundant number, since it is smaller than the sum of its proper divisors (2496527088).

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

1286088672 is a wasteful number, since it uses less digits than its factorization.

1286088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 1286088672 is about 35862.0784673727. The cubic root of 1286088672 is about 1087.4859072820.

The spelling of 1286088672 in words is "one billion, two hundred eighty-six million, eighty-eight thousand, six hundred seventy-two".