1285320960 has 1080 divisors, whose sum is σ = 6090106176. Its totient is φ = 255467520.

The previous prime is 1285320941. The next prime is 1285320961. The reversal of 1285320960 is 690235821.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1285320961) 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 119 ways as a sum of consecutive naturals, for example, 55883509 + ... + 55883531.

Almost surely, 2^1285320960 is an apocalyptic number.

1285320960 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 1285320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045053088).

1285320960 is an abundant number, since it is smaller than the sum of its proper divisors (4804785216).

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

1285320960 is a wasteful number, since it uses less digits than its factorization.

1285320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1285320960 is about 35851.3731954579. The cubic root of 1285320960 is about 1087.2694778925.

The spelling of 1285320960 in words is "one billion, two hundred eighty-five million, three hundred twenty thousand, nine hundred sixty".