1284648768 has 336 divisors, whose sum is σ = 4216847040. Its totient is φ = 383145984.

The previous prime is 1284648763. The next prime is 1284648787. The reversal of 1284648768 is 8678464821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284648763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15477655 + ... + 15477737.

It is an arithmetic number, because the mean of its divisors is an integer number (12550140).

Almost surely, 2^1284648768 is an apocalyptic number.

1284648768 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 1284648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108423520).

1284648768 is an abundant number, since it is smaller than the sum of its proper divisors (2932198272).

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

1284648768 is a wasteful number, since it uses less digits than its factorization.

1284648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 1284648768 is about 35841.9972657775. The cubic root of 1284648768 is about 1087.0799062315.

The spelling of 1284648768 in words is "one billion, two hundred eighty-four million, six hundred forty-eight thousand, seven hundred sixty-eight".