1290960288 has 192 divisors, whose sum is σ = 3958416000. Its totient is φ = 408748032.

The previous prime is 1290960283. The next prime is 1290960389. The reversal of 1290960288 is 8820690921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290960283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678368 + ... + 1679136.

It is an arithmetic number, because the mean of its divisors is an integer number (20616750).

Almost surely, 2^1290960288 is an apocalyptic number.

1290960288 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 1290960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979208000).

1290960288 is an abundant number, since it is smaller than the sum of its proper divisors (2667455712).

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

1290960288 is a wasteful number, since it uses less digits than its factorization.

1290960288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1290960288 is about 35929.9358195920. The cubic root of 1290960288 is about 1088.8572846088.

The spelling of 1290960288 in words is "one billion, two hundred ninety million, nine hundred sixty thousand, two hundred eighty-eight".