1158817920 has 256 divisors, whose sum is σ = 4213399680. Its totient is φ = 268369920.

The previous prime is 1158817861. The next prime is 1158817921. The reversal of 1158817920 is 297188511.

It is not an unprimeable number, because it can be changed into a prime (1158817921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422955 + ... + 425685.

Almost surely, 2^1158817920 is an apocalyptic number.

1158817920 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 1158817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106699840).

1158817920 is an abundant number, since it is smaller than the sum of its proper divisors (3054581760).

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

1158817920 is a wasteful number, since it uses less digits than its factorization.

1158817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The square root of 1158817920 is about 34041.4147767099. The cubic root of 1158817920 is about 1050.3605473834.

The spelling of 1158817920 in words is "one billion, one hundred fifty-eight million, eight hundred seventeen thousand, nine hundred twenty".