1283668960 has 48 divisors (see below), whose sum is σ = 3465909216. Its totient is φ = 440114688.

The previous prime is 1283668943. The next prime is 1283668961. The reversal of 1283668960 is 698663821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283668961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571947 + ... + 574186.

It is an arithmetic number, because the mean of its divisors is an integer number (72206442).

Almost surely, 2^1283668960 is an apocalyptic number.

1283668960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1283668960 is an abundant number, since it is smaller than the sum of its proper divisors (2182240256).

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

1283668960 is a wasteful number, since it uses less digits than its factorization.

1283668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146155 (or 1146147 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 1283668960 is about 35828.3262238135. The cubic root of 1283668960 is about 1086.8034621887.

It can be divided in two parts, 12836 and 68960, that added together give a square (81796 = 286²).

The spelling of 1283668960 in words is "one billion, two hundred eighty-three million, six hundred sixty-eight thousand, nine hundred sixty".