1283645880 has 160 divisors (see below), whose sum is σ = 4706832240. Its totient is φ = 311178240.

The previous prime is 1283645863. The next prime is 1283645887. The reversal of 1283645880 is 885463821.

1283645880 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 64 + 588 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283645887) 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 39 ways as a sum of consecutive naturals, for example, 17632 + ... + 53648.

Almost surely, 2^1283645880 is an apocalyptic number.

1283645880 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 1283645880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353416120).

1283645880 is an abundant number, since it is smaller than the sum of its proper divisors (3423186360).

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

1283645880 is a wasteful number, since it uses less digits than its factorization.

1283645880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36051 (or 36038 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1283645880 is about 35828.0041308471. The cubic root of 1283645880 is about 1086.7969486781.

The spelling of 1283645880 in words is "one billion, two hundred eighty-three million, six hundred forty-five thousand, eight hundred eighty".