1013840000 has 320 divisors, whose sum is σ = 2867832000. Its totient is φ = 354816000.

The previous prime is 1013839993. The next prime is 1013840017. The reversal of 1013840000 is 483101.

It is a happy number.

1013840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34959986 + ... + 34960014.

It is an arithmetic number, because the mean of its divisors is an integer number (8961975).

Almost surely, 2^1013840000 is an apocalyptic number.

1013840000 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 1013840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433916000).

1013840000 is an abundant number, since it is smaller than the sum of its proper divisors (1853992000).

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

1013840000 is an equidigital number, since it uses as much as digits as its factorization.

1013840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1013840000 is about 31840.8542598970. The cubic root of 1013840000 is about 1004.5922126356.

The spelling of 1013840000 in words is "one billion, thirteen million, eight hundred forty thousand".