1005535040 has 168 divisors, whose sum is σ = 2593860192. Its totient is φ = 371138560.

The previous prime is 1005535039. The next prime is 1005535079. The reversal of 1005535040 is 405355001.

It is a super-2 number, since 2×1005535040² = 2022201433335603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005534997 and 1005535015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7675775 + ... + 7675905.

It is an arithmetic number, because the mean of its divisors is an integer number (15439644).

Almost surely, 2^1005535040 is an apocalyptic number.

1005535040 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 1005535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296930096).

1005535040 is an abundant number, since it is smaller than the sum of its proper divisors (1588325152).

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

1005535040 is a wasteful number, since it uses less digits than its factorization.

1005535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1005535040 is about 31710.1725003192. The cubic root of 1005535040 is about 1001.8416196883.

The spelling of 1005535040 in words is "one billion, five million, five hundred thirty-five thousand, forty".