1005641056 has 96 divisors (see below), whose sum is σ = 2359832832. Its totient is φ = 412853760.

The previous prime is 1005641053. The next prime is 1005641111. The reversal of 1005641056 is 6501465001.

It is a super-2 number, since 2×1005641056² = 2022627867025590272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005641053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554391 + ... + 556201.

It is an arithmetic number, because the mean of its divisors is an integer number (24581592).

Almost surely, 2^1005641056 is an apocalyptic number.

1005641056 is a gapful number since it is divisible by the number (16) 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 1005641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179916416).

1005641056 is an abundant number, since it is smaller than the sum of its proper divisors (1354191776).

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

1005641056 is a wasteful number, since it uses less digits than its factorization.

1005641056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1005641056 is about 31711.8440964886. The cubic root of 1005641056 is about 1001.8768273155.

The spelling of 1005641056 in words is "one billion, five million, six hundred forty-one thousand, fifty-six".