1296106240 has 288 divisors, whose sum is σ = 3735418176. Its totient is φ = 424673280.

The previous prime is 1296106237. The next prime is 1296106241. The reversal of 1296106240 is 426016921.

It is not an unprimeable number, because it can be changed into a prime (1296106241) 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, 13361872 + ... + 13361968.

It is an arithmetic number, because the mean of its divisors is an integer number (12970202).

Almost surely, 2^1296106240 is an apocalyptic number.

1296106240 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 1296106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867709088).

1296106240 is an abundant number, since it is smaller than the sum of its proper divisors (2439311936).

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

1296106240 is a wasteful number, since it uses less digits than its factorization.

1296106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1296106240 is about 36001.4755253170. The cubic root of 1296106240 is about 1090.3021466895.

The spelling of 1296106240 in words is "one billion, two hundred ninety-six million, one hundred six thousand, two hundred forty".