1005352320 has 512 divisors, whose sum is σ = 4010803200. Its totient is φ = 209018880.

The previous prime is 1005352303. The next prime is 1005352321. The reversal of 1005352320 is 232535001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005352321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7916097 + ... + 7916223.

It is an arithmetic number, because the mean of its divisors is an integer number (7833600).

Almost surely, 2^1005352320 is an apocalyptic number.

1005352320 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 1005352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005401600).

1005352320 is an abundant number, since it is smaller than the sum of its proper divisors (3005450880).

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

1005352320 is a wasteful number, since it uses less digits than its factorization.

1005352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

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

The square root of 1005352320 is about 31707.2912750364. The cubic root of 1005352320 is about 1001.7809330612.

Adding to 1005352320 its reverse (232535001), we get a palindrome (1237887321).

The spelling of 1005352320 in words is "one billion, five million, three hundred fifty-two thousand, three hundred twenty".