1005840000 has 480 divisors, whose sum is σ = 3976727040. Its totient is φ = 241920000.

The previous prime is 1005839983. The next prime is 1005840029. The reversal of 1005840000 is 485001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7919937 + ... + 7920063.

It is an arithmetic number, because the mean of its divisors is an integer number (8284848).

Almost surely, 2^1005840000 is an apocalyptic number.

1005840000 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 1005840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988363520).

1005840000 is an abundant number, since it is smaller than the sum of its proper divisors (2970887040).

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

1005840000 is a wasteful number, since it uses less digits than its factorization.

1005840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1005840000 is about 31714.9806873660. The cubic root of 1005840000 is about 1001.9428894027.

The spelling of 1005840000 in words is "one billion, five million, eight hundred forty thousand".