1005681024 has 96 divisors (see below), whose sum is σ = 2993842800. Its totient is φ = 323656704.

The previous prime is 1005681007. The next prime is 1005681031. The reversal of 1005681024 is 4201865001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1005681024² = 2022788644067377152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18357 + ... + 48459.

Almost surely, 2^1005681024 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 1005681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496921400).

1005681024 is an abundant number, since it is smaller than the sum of its proper divisors (1988161776).

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

1005681024 is a wasteful number, since it uses less digits than its factorization.

1005681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30152 (or 30137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1005681024 is about 31712.4742648693. The cubic root of 1005681024 is about 1001.8900999381.

The spelling of 1005681024 in words is "one billion, five million, six hundred eighty-one thousand, twenty-four".