1000132320 has 192 divisors, whose sum is σ = 3453601536. Its totient is φ = 241274880.

The previous prime is 1000132297. The next prime is 1000132327. The reversal of 1000132320 is 232310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000132296 and 1000132305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000132327) by changing a digit.

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, 1620652 + ... + 1621268.

It is an arithmetic number, because the mean of its divisors is an integer number (17987508).

Almost surely, 2^1000132320 is an apocalyptic number.

1000132320 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 1000132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726800768).

1000132320 is an abundant number, since it is smaller than the sum of its proper divisors (2453469216).

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

1000132320 is a wasteful number, since it uses less digits than its factorization.

1000132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000132320 is about 31624.8686953796. The cubic root of 1000132320 is about 1000.0441047214.

Adding to 1000132320 its reverse (232310001), we get a palindrome (1232442321).

The spelling of 1000132320 in words is "one billion, one hundred thirty-two thousand, three hundred twenty".