1013433984 has 128 divisors (see below), whose sum is σ = 3027931200. Its totient is φ = 333646848.

The previous prime is 1013433983. The next prime is 1013433991. The reversal of 1013433984 is 4893343101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1013433984² = 2054096879852224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1013433983) 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, 285082 + ... + 288614.

Almost surely, 2^1013433984 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 1013433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513965600).

1013433984 is an abundant number, since it is smaller than the sum of its proper divisors (2014497216).

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

1013433984 is an equidigital number, since it uses as much as digits as its factorization.

1013433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1013433984 is about 31834.4779131055. The cubic root of 1013433984 is about 1004.4580905610.

The spelling of 1013433984 in words is "one billion, thirteen million, four hundred thirty-three thousand, nine hundred eighty-four".