1005634840 has 160 divisors (see below), whose sum is σ = 2720555280. Its totient is φ = 334285056.

The previous prime is 1005634829. The next prime is 1005634843. The reversal of 1005634840 is 484365001.

It is a happy number.

1005634840 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 2×1005634840² = 2022602862843651200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005634843) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3553339 + ... + 3553621.

Almost surely, 2^1005634840 is an apocalyptic number.

1005634840 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 1005634840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360277640).

1005634840 is an abundant number, since it is smaller than the sum of its proper divisors (1714920440).

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

1005634840 is an equidigital number, since it uses as much as digits as its factorization.

1005634840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1005634840 is about 31711.7460887918. The cubic root of 1005634840 is about 1001.8747630670.

Adding to 1005634840 its reverse (484365001), we get a palindrome (1489999841).

The spelling of 1005634840 in words is "one billion, five million, six hundred thirty-four thousand, eight hundred forty".