1158128640 has 264 divisors, whose sum is σ = 4117466808. Its totient is φ = 300810240.

The previous prime is 1158128593. The next prime is 1158128663. The reversal of 1158128640 is 468218511.

1158128640 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 1 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117679104 + 1040449536 = 10848^2 + 32256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1158128595 and 1158128604.

It is a congruent number.

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, 1888974 + ... + 1889586.

Almost surely, 2^1158128640 is an apocalyptic number.

1158128640 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 1158128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058733404).

1158128640 is an abundant number, since it is smaller than the sum of its proper divisors (2959338168).

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

1158128640 is a wasteful number, since it uses less digits than its factorization.

1158128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1158128640 is about 34031.2891322089. The cubic root of 1158128640 is about 1050.1522500315.

The spelling of 1158128640 in words is "one billion, one hundred fifty-eight million, one hundred twenty-eight thousand, six hundred forty".