1005611640 has 96 divisors (see below), whose sum is σ = 3316073040. Its totient is φ = 243781120.

The previous prime is 1005611611. The next prime is 1005611683. The reversal of 1005611640 is 461165001.

It is a super-2 number, since 2×1005611640² = 2022509541006979200, which contains 22 as substring.

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 1005611640.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20109 + ... + 49148.

Almost surely, 2^1005611640 is an apocalyptic number.

1005611640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005611640 is an abundant number, since it is smaller than the sum of its proper divisors (2310461400).

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

1005611640 is a wasteful number, since it uses less digits than its factorization.

1005611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69293 (or 69278 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1005611640 is about 31711.3802916240. The cubic root of 1005611640 is about 1001.8670585894.

Adding to 1005611640 its reverse (461165001), we get a palindrome (1466776641).

It can be divided in two parts, 100561 and 1640, that added together give a palindrome (102201).

The spelling of 1005611640 in words is "one billion, five million, six hundred eleven thousand, six hundred forty".