1005663040 has 112 divisors (see below), whose sum is σ = 2524182912. Its totient is φ = 380880896.

The previous prime is 1005663031. The next prime is 1005663041. The reversal of 1005663040 is 403665001.

1005663040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005663040² = 2022716300044083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005662996 and 1005663014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005663041) 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, 786882 + ... + 788158.

Almost surely, 2^1005663040 is an apocalyptic number.

1005663040 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 1005663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262091456).

1005663040 is an abundant number, since it is smaller than the sum of its proper divisors (1518519872).

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

1005663040 is a wasteful number, since it uses less digits than its factorization.

1005663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1005663040 is about 31712.1907158745. The cubic root of 1005663040 is about 1001.8841278328.

The spelling of 1005663040 in words is "one billion, five million, six hundred sixty-three thousand, forty".