1027440960 has 448 divisors, whose sum is σ = 4233062400. Its totient is φ = 205037568.

The previous prime is 1027440959. The next prime is 1027440961. The reversal of 1027440960 is 690447201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1027440959) and next prime (1027440961).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027440961) by changing a digit.

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, 1659531 + ... + 1660149.

It is an arithmetic number, because the mean of its divisors is an integer number (9448800).

Almost surely, 2^1027440960 is an apocalyptic number.

1027440960 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 1027440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116531200).

1027440960 is an abundant number, since it is smaller than the sum of its proper divisors (3205621440).

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

1027440960 is a wasteful number, since it uses less digits than its factorization.

1027440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1027440960 is about 32053.7199089279. The cubic root of 1027440960 is about 1009.0645719344.

The spelling of 1027440960 in words is "one billion, twenty-seven million, four hundred forty thousand, nine hundred sixty".