1005532320 has 192 divisors, whose sum is σ = 3612107520. Its totient is φ = 232931328.

The previous prime is 1005532291. The next prime is 1005532349. The reversal of 1005532320 is 232355001.

It is an interprime number because it is at equal distance from previous prime (1005532291) and next prime (1005532349).

It is a super-2 number, since 2×1005532320² = 2022190493129164800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 101341 + ... + 110819.

It is an arithmetic number, because the mean of its divisors is an integer number (18813060).

Almost surely, 2^1005532320 is an apocalyptic number.

1005532320 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 1005532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806053760).

1005532320 is an abundant number, since it is smaller than the sum of its proper divisors (2606575200).

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

1005532320 is a wasteful number, since it uses less digits than its factorization.

1005532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1005532320 is about 31710.1296118449. The cubic root of 1005532320 is about 1001.8407163511.

Adding to 1005532320 its reverse (232355001), we get a palindrome (1237887321).

The spelling of 1005532320 in words is "one billion, five million, five hundred thirty-two thousand, three hundred twenty".