1287264960 has 140 divisors (see below), whose sum is σ = 4579120128. Its totient is φ = 343263744.

The previous prime is 1287264919. The next prime is 1287264967. The reversal of 1287264960 is 694627821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1287264967) 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 19 ways as a sum of consecutive naturals, for example, 1089 + ... + 50751.

Almost surely, 2^1287264960 is an apocalyptic number.

1287264960 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 1287264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289560064).

1287264960 is an abundant number, since it is smaller than the sum of its proper divisors (3291855168).

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

1287264960 is an equidigital number, since it uses as much as digits as its factorization.

1287264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49692 (or 49673 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1287264960 is about 35878.4748839747. The cubic root of 1287264960 is about 1087.8173532790.

The spelling of 1287264960 in words is "one billion, two hundred eighty-seven million, two hundred sixty-four thousand, nine hundred sixty".