1283600 has 30 divisors (see below), whose sum is σ = 3084810. Its totient is φ = 513280.

The previous prime is 1283591. The next prime is 1283603. The reversal of 1283600 is 63821.

It can be written as a sum of positive squares in 3 ways, for example, as 99856 + 1183744 = 316^2 + 1088^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1283603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1205 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (102827).

2^1283600 is an apocalyptic number.

1283600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1283600 is an abundant number, since it is smaller than the sum of its proper divisors (1801210).

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

1283600 is a wasteful number, since it uses less digits than its factorization.

1283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1283600 is about 1132.9607230615. The cubic root of 1283600 is about 108.6784000445.

The spelling of 1283600 in words is "one million, two hundred eighty-three thousand, six hundred".