1005340644 has 216 divisors, whose sum is σ = 3253618368. Its totient is φ = 258814080.

The previous prime is 1005340613. The next prime is 1005340691. The reversal of 1005340644 is 4460435001.

1005340644 is a `hidden beast` number, since 10 + 0 + 5 + 3 + 4 + 0 + 644 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3822457 + ... + 3822719.

It is an arithmetic number, because the mean of its divisors is an integer number (15063048).

Almost surely, 2^1005340644 is an apocalyptic number.

1005340644 is a gapful number since it is divisible by the number (14) 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 1005340644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626809184).

1005340644 is an abundant number, since it is smaller than the sum of its proper divisors (2248277724).

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

1005340644 is a wasteful number, since it uses less digits than its factorization.

1005340644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1005340644 is about 31707.1071528135. The cubic root of 1005340644 is about 1001.7770548720. Note that the first 3 decimals are identical.

Adding to 1005340644 its reverse (4460435001), we get a palindrome (5465775645).

The spelling of 1005340644 in words is "one billion, five million, three hundred forty thousand, six hundred forty-four".