1031641632 has 288 divisors, whose sum is σ = 3685893120. Its totient is φ = 266872320.

The previous prime is 1031641627. The next prime is 1031641649. The reversal of 1031641632 is 2361461301.

1031641632 is a `hidden beast` number, since 10 + 3 + 1 + 641 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1031641596 and 1031641605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880407 + ... + 881577.

It is an arithmetic number, because the mean of its divisors is an integer number (12798240).

Almost surely, 2^1031641632 is an apocalyptic number.

1031641632 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 1031641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842946560).

1031641632 is an abundant number, since it is smaller than the sum of its proper divisors (2654251488).

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

1031641632 is a wasteful number, since it uses less digits than its factorization.

1031641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1031641632 is about 32119.1785698202. The cubic root of 1031641632 is about 1010.4378822146.

The spelling of 1031641632 in words is "one billion, thirty-one million, six hundred forty-one thousand, six hundred thirty-two".