1283683968 has 144 divisors (see below), whose sum is σ = 4297214610. Its totient is φ = 366750720.

The previous prime is 1283683949. The next prime is 1283683979. The reversal of 1283683968 is 8693863821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1256560704 + 27123264 = 35448^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45078 + ... + 67818.

Almost surely, 2^1283683968 is an apocalyptic number.

1283683968 is a gapful number since it is divisible by the number (18) 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 1283683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148607305).

1283683968 is an abundant number, since it is smaller than the sum of its proper divisors (3013530642).

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

1283683968 is a wasteful number, since it uses less digits than its factorization.

1283683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22775 (or 22753 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1283683968 is about 35828.5356664210. The cubic root of 1283683968 is about 1086.8076976220.

The spelling of 1283683968 in words is "one billion, two hundred eighty-three million, six hundred eighty-three thousand, nine hundred sixty-eight".