1013619984 has 80 divisors (see below), whose sum is σ = 2824444224. Its totient is φ = 311385600.

The previous prime is 1013619983. The next prime is 1013620039. The reversal of 1013619984 is 4899163101.

It is not an unprimeable number, because it can be changed into a prime (1013619983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661299 + ... + 662829.

Almost surely, 2^1013619984 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 1013619984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412222112).

1013619984 is an abundant number, since it is smaller than the sum of its proper divisors (1810824240).

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

1013619984 is a wasteful number, since it uses less digits than its factorization.

1013619984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1013619984 is about 31837.3991400051. The cubic root of 1013619984 is about 1004.5195376735.

The spelling of 1013619984 in words is "one billion, thirteen million, six hundred nineteen thousand, nine hundred eighty-four".