1005413640 has 256 divisors, whose sum is σ = 3784734720. Its totient is φ = 207575040.

The previous prime is 1005413627. The next prime is 1005413663. The reversal of 1005413640 is 463145001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1005413640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2152687 + ... + 2153153.

It is an arithmetic number, because the mean of its divisors is an integer number (14784120).

Almost surely, 2^1005413640 is an apocalyptic number.

1005413640 is a gapful number since it is divisible by the number (10) 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 1005413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892367360).

1005413640 is an abundant number, since it is smaller than the sum of its proper divisors (2779321080).

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

1005413640 is a wasteful number, since it uses less digits than its factorization.

1005413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1005413640 is about 31708.2582303097. The cubic root of 1005413640 is about 1001.8013000366.

Adding to 1005413640 its reverse (463145001), we get a palindrome (1468558641).

The spelling of 1005413640 in words is "one billion, five million, four hundred thirteen thousand, six hundred forty".