1158567840 has 192 divisors, whose sum is σ = 4071513600. Its totient is φ = 307694592.

The previous prime is 1158567829. The next prime is 1158567853. The reversal of 1158567840 is 487658511.

1158567840 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 567 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611001 + ... + 1611719.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2^1158567840 is an apocalyptic number.

1158567840 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 1158567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035756800).

1158567840 is an abundant number, since it is smaller than the sum of its proper divisors (2912945760).

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

1158567840 is a wasteful number, since it uses less digits than its factorization.

1158567840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1158567840 is about 34037.7414056808. The cubic root of 1158567840 is about 1050.2849838691.

The spelling of 1158567840 in words is "one billion, one hundred fifty-eight million, five hundred sixty-seven thousand, eight hundred forty".