1013865984 has 240 divisors, whose sum is σ = 3150267120. Its totient is φ = 325140480.

The previous prime is 1013865961. The next prime is 1013865989. The reversal of 1013865984 is 4895683101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013865989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3607924 + ... + 3608204.

It is an arithmetic number, because the mean of its divisors is an integer number (13126113).

Almost surely, 2^1013865984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575133560).

1013865984 is an abundant number, since it is smaller than the sum of its proper divisors (2136401136).

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

1013865984 is an frugal number, since it uses more digits than its factorization.

1013865984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1013865984 is about 31841.2622865363. The cubic root of 1013865984 is about 1004.6007948909.

The spelling of 1013865984 in words is "one billion, thirteen million, eight hundred sixty-five thousand, nine hundred eighty-four".