1088144960 has 168 divisors, whose sum is σ = 3119429880. Its totient is φ = 360062976.

The previous prime is 1088144921. The next prime is 1088144977. The reversal of 1088144960 is 694418801.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 1087944256 = 448^2 + 32984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453524 + ... + 455916.

It is an arithmetic number, because the mean of its divisors is an integer number (18568035).

Almost surely, 2^1088144960 is an apocalyptic number.

1088144960 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 1088144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559714940).

1088144960 is an abundant number, since it is smaller than the sum of its proper divisors (2031284920).

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

1088144960 is a wasteful number, since it uses less digits than its factorization.

1088144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 1088144960 is about 32987.0423045171. The cubic root of 1088144960 is about 1028.5583122960.

The spelling of 1088144960 in words is "one billion, eighty-eight million, one hundred forty-four thousand, nine hundred sixty".