1075888480 has 96 divisors (see below), whose sum is σ = 2738147328. Its totient is φ = 398323200.

The previous prime is 1075888441. The next prime is 1075888483. The reversal of 1075888480 is 848885701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075888483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109365 + ... + 118795.

It is an arithmetic number, because the mean of its divisors is an integer number (28522368).

Almost surely, 2^1075888480 is an apocalyptic number.

1075888480 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 1075888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369073664).

1075888480 is an abundant number, since it is smaller than the sum of its proper divisors (1662258848).

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

1075888480 is a wasteful number, since it uses less digits than its factorization.

1075888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 49.

The square root of 1075888480 is about 32800.7390160649. The cubic root of 1075888480 is about 1024.6819493085.

The spelling of 1075888480 in words is "one billion, seventy-five million, eight hundred eighty-eight thousand, four hundred eighty".