1005432960 has 192 divisors, whose sum is σ = 3728401920. Its totient is φ = 229791744.

The previous prime is 1005432947. The next prime is 1005433001. The reversal of 1005432960 is 692345001.

1005432960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88737 + ... + 99423.

It is an arithmetic number, because the mean of its divisors is an integer number (19418760).

Almost surely, 2^1005432960 is an apocalyptic number.

1005432960 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 1005432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864200960).

1005432960 is an abundant number, since it is smaller than the sum of its proper divisors (2722968960).

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

1005432960 is a wasteful number, since it uses less digits than its factorization.

1005432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1005432960 is about 31708.5628813417. The cubic root of 1005432960 is about 1001.8077168573.

Adding to 1005432960 its reverse (692345001), we get a palindrome (1697777961).

The spelling of 1005432960 in words is "one billion, five million, four hundred thirty-two thousand, nine hundred sixty".