1009631232 has 180 divisors, whose sum is σ = 3005651376. Its totient is φ = 326369280.

The previous prime is 1009631221. The next prime is 1009631239. The reversal of 1009631232 is 2321369001.

1009631232 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 631 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1009631196 and 1009631205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009631239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6045613 + ... + 6045779.

Almost surely, 2^1009631232 is an apocalyptic number.

1009631232 is a gapful number since it is divisible by the number (12) 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 1009631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502825688).

1009631232 is an abundant number, since it is smaller than the sum of its proper divisors (1996020144).

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

1009631232 is an equidigital number, since it uses as much as digits as its factorization.

1009631232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1009631232 is about 31774.6948372443. The cubic root of 1009631232 is about 1003.2001587265.

It can be divided in two parts, 10096 and 31232, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 1009631232 in words is "one billion, nine million, six hundred thirty-one thousand, two hundred thirty-two".