1158967920 has 160 divisors (see below), whose sum is σ = 3969745920. Its totient is φ = 277355520.

The previous prime is 1158967883. The next prime is 1158967933. The reversal of 1158967920 is 297698511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1158967920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205782 + ... + 211338.

It is an arithmetic number, because the mean of its divisors is an integer number (24810912).

Almost surely, 2^1158967920 is an apocalyptic number.

1158967920 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 1158967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984872960).

1158967920 is an abundant number, since it is smaller than the sum of its proper divisors (2810778000).

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

1158967920 is a wasteful number, since it uses less digits than its factorization.

1158967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 1158967920 is about 34043.6179040947. The cubic root of 1158967920 is about 1050.4058657726.

The spelling of 1158967920 in words is "one billion, one hundred fifty-eight million, nine hundred sixty-seven thousand, nine hundred twenty".