1005349320 has 224 divisors, whose sum is σ = 3541320000. Its totient is φ = 256265856.

The previous prime is 1005349309. The next prime is 1005349391. The reversal of 1005349320 is 239435001.

1005349320 is a `hidden beast` number, since 100 + 53 + 493 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 669931 + ... + 671429.

Almost surely, 2^1005349320 is an apocalyptic number.

1005349320 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 1005349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770660000).

1005349320 is an abundant number, since it is smaller than the sum of its proper divisors (2535970680).

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

1005349320 is a wasteful number, since it uses less digits than its factorization.

1005349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1005349320 is about 31707.2439672703. The cubic root of 1005349320 is about 1001.7799366126.

The spelling of 1005349320 in words is "one billion, five million, three hundred forty-nine thousand, three hundred twenty".