1287804672 has 648 divisors, whose sum is σ = 5070894192. Its totient is φ = 309657600.

The previous prime is 1287804671. The next prime is 1287804691. The reversal of 1287804672 is 2764087821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287804671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21111522 + ... + 21111582.

It is an arithmetic number, because the mean of its divisors is an integer number (7825454).

Almost surely, 2^1287804672 is an apocalyptic number.

1287804672 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 1287804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535447096).

1287804672 is an abundant number, since it is smaller than the sum of its proper divisors (3783089520).

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

1287804672 is a wasteful number, since it uses less digits than its factorization.

1287804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1287804672 is about 35885.9954857044. The cubic root of 1287804672 is about 1087.9693618823.

The spelling of 1287804672 in words is "one billion, two hundred eighty-seven million, eight hundred four thousand, six hundred seventy-two".