1288067664 has 80 divisors (see below), whose sum is σ = 3588923072. Its totient is φ = 395725824.

The previous prime is 1288067617. The next prime is 1288067687. The reversal of 1288067664 is 4667608821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583587 + ... + 585789.

Almost surely, 2^1288067664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288067664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794461536).

1288067664 is an abundant number, since it is smaller than the sum of its proper divisors (2300855408).

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

1288067664 is a wasteful number, since it uses less digits than its factorization.

1288067664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 1288067664 is about 35889.6595692966. The cubic root of 1288067664 is about 1088.0434175652.

The spelling of 1288067664 in words is "one billion, two hundred eighty-eight million, sixty-seven thousand, six hundred sixty-four".