1005522320 has 80 divisors (see below), whose sum is σ = 2609779392. Its totient is φ = 357127680.

The previous prime is 1005522317. The next prime is 1005522347. The reversal of 1005522320 is 232255001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1005522320² = 2022150272036364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1005522292 and 1005522301.

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 15 ways as a sum of consecutive naturals, for example, 24554 + ... + 51126.

Almost surely, 2^1005522320 is an apocalyptic number.

1005522320 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 1005522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304889696).

1005522320 is an abundant number, since it is smaller than the sum of its proper divisors (1604257072).

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

1005522320 is a wasteful number, since it uses less digits than its factorization.

1005522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26640 (or 26634 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1005522320 is about 31709.9719331317. The cubic root of 1005522320 is about 1001.8373952444.

Adding to 1005522320 its reverse (232255001), we get a palindrome (1237777321).

It can be divided in two parts, 1005 and 522320, that added together give a palindrome (523325).

The spelling of 1005522320 in words is "one billion, five million, five hundred twenty-two thousand, three hundred twenty".