1138232960 has 128 divisors (see below), whose sum is σ = 2899962000. Its totient is φ = 425721856.

The previous prime is 1138232957. The next prime is 1138232971. The reversal of 1138232960 is 692328311.

It can be written as a sum of positive squares in 8 ways, for example, as 539354176 + 598878784 = 23224^2 + 24472^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1138232960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534816 + ... + 2535264.

Almost surely, 2^1138232960 is an apocalyptic number.

1138232960 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 1138232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449981000).

1138232960 is an abundant number, since it is smaller than the sum of its proper divisors (1761729040).

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

1138232960 is a wasteful number, since it uses less digits than its factorization.

1138232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1138232960 is about 33737.7082802018. The cubic root of 1138232960 is about 1044.1039027938.

The spelling of 1138232960 in words is "one billion, one hundred thirty-eight million, two hundred thirty-two thousand, nine hundred sixty".