1005682636 has 48 divisors (see below), whose sum is σ = 2109735936. Its totient is φ = 410122944.

The previous prime is 1005682631. The next prime is 1005682649. The reversal of 1005682636 is 6362865001.

It is a super-2 number, since 2×1005682636² = 2022795128703816992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005682595 and 1005682604.

It is not an unprimeable number, because it can be changed into a prime (1005682631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122905 + ... + 130831.

It is an arithmetic number, because the mean of its divisors is an integer number (43952832).

Almost surely, 2^1005682636 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 1005682636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054867968).

1005682636 is an abundant number, since it is smaller than the sum of its proper divisors (1104053300).

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

1005682636 is a wasteful number, since it uses less digits than its factorization.

1005682636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1005682636 is about 31712.4996807253. The cubic root of 1005682636 is about 1001.8906352457.

The spelling of 1005682636 in words is "one billion, five million, six hundred eighty-two thousand, six hundred thirty-six".