1284006768 has 40 divisors (see below), whose sum is σ = 3618566016. Its totient is φ = 389092800.

The previous prime is 1284006767. The next prime is 1284006769. The reversal of 1284006768 is 8676004821.

It is an interprime number because it is at equal distance from previous prime (1284006767) and next prime (1284006769).

It is a super-3 number, since 3×1284006768³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284006761) 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, 1215388 + ... + 1216443.

Almost surely, 2^1284006768 is an apocalyptic number.

It is an amenable number.

1284006768 is an abundant number, since it is smaller than the sum of its proper divisors (2334559248).

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

1284006768 is a wasteful number, since it uses less digits than its factorization.

1284006768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431853 (or 2431847 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1284006768 is about 35833.0401724442. The cubic root of 1284006768 is about 1086.8987875713.

The spelling of 1284006768 in words is "one billion, two hundred eighty-four million, six thousand, seven hundred sixty-eight".