1005640350 has 192 divisors, whose sum is σ = 2957810688. Its totient is φ = 222912000.

The previous prime is 1005640313. The next prime is 1005640357. The reversal of 1005640350 is 530465001.

It is a super-2 number, since 2×1005640350² = 2022625027096245000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005640350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005640357) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3710715 + ... + 3710985.

It is an arithmetic number, because the mean of its divisors is an integer number (15405264).

Almost surely, 2^1005640350 is an apocalyptic number.

1005640350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005640350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478905344).

1005640350 is an abundant number, since it is smaller than the sum of its proper divisors (1952170338).

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

1005640350 is a wasteful number, since it uses less digits than its factorization.

1005640350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1005640350 is about 31711.8329649990. The cubic root of 1005640350 is about 1001.8765928630.

The spelling of 1005640350 in words is "one billion, five million, six hundred forty thousand, three hundred fifty".