1283241960 has 512 divisors, whose sum is σ = 5748019200. Its totient is φ = 245928960.

The previous prime is 1283241929. The next prime is 1283241977. The reversal of 1283241960 is 691423821.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1080487 + ... + 1081673.

It is an arithmetic number, because the mean of its divisors is an integer number (11226600).

Almost surely, 2^1283241960 is an apocalyptic number.

1283241960 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 1283241960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874009600).

1283241960 is an abundant number, since it is smaller than the sum of its proper divisors (4464777240).

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

1283241960 is a wasteful number, since it uses less digits than its factorization.

1283241960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1228 counting only the distinct ones).

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

The square root of 1283241960 is about 35822.3667559808. The cubic root of 1283241960 is about 1086.6829439560.

The spelling of 1283241960 in words is "one billion, two hundred eighty-three million, two hundred forty-one thousand, nine hundred sixty".