1289096640 has 448 divisors, whose sum is σ = 5120640000. Its totient is φ = 302911488.

The previous prime is 1289096639. The next prime is 1289096659. The reversal of 1289096640 is 466909821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 2583111 + ... + 2583609.

It is an arithmetic number, because the mean of its divisors is an integer number (11430000).

Almost surely, 2^1289096640 is an apocalyptic number.

1289096640 is a gapful number since it is divisible by the number (10) 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 1289096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320000).

1289096640 is an abundant number, since it is smaller than the sum of its proper divisors (3831543360).

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

1289096640 is a wasteful number, since it uses less digits than its factorization.

1289096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1289096640 is about 35903.9919786087. The cubic root of 1289096640 is about 1088.3330691633. Note that the first 3 decimals are identical.

The spelling of 1289096640 in words is "one billion, two hundred eighty-nine million, ninety-six thousand, six hundred forty".