1031632896 has 288 divisors, whose sum is σ = 3379259520. Its totient is φ = 274071552.

The previous prime is 1031632891. The next prime is 1031632907. The reversal of 1031632896 is 6982361301.

1031632896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1031632896³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031632891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12429271 + ... + 12429353.

It is an arithmetic number, because the mean of its divisors is an integer number (11733540).

Almost surely, 2^1031632896 is an apocalyptic number.

1031632896 is a gapful number since it is divisible by the number (16) 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 1031632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689629760).

1031632896 is an abundant number, since it is smaller than the sum of its proper divisors (2347626624).

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

1031632896 is an equidigital number, since it uses as much as digits as its factorization.

1031632896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1031632896 is about 32119.0425760171. The cubic root of 1031632896 is about 1010.4350300581.

The spelling of 1031632896 in words is "one billion, thirty-one million, six hundred thirty-two thousand, eight hundred ninety-six".