1281432960 has 320 divisors, whose sum is σ = 4820785200. Its totient is φ = 323481600.

The previous prime is 1281432931. The next prime is 1281433003. The reversal of 1281432960 is 692341821.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 984310 + ... + 985610.

Almost surely, 2^1281432960 is an apocalyptic number.

1281432960 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 1281432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410392600).

1281432960 is an abundant number, since it is smaller than the sum of its proper divisors (3539352240).

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

1281432960 is a wasteful number, since it uses less digits than its factorization.

1281432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1281432960 is about 35797.1082630986. The cubic root of 1281432960 is about 1086.1720676048.

The spelling of 1281432960 in words is "one billion, two hundred eighty-one million, four hundred thirty-two thousand, nine hundred sixty".