1631946960 has 480 divisors, whose sum is σ = 6931163520. Its totient is φ = 350687232.

The previous prime is 1631946947. The next prime is 1631946961. The reversal of 1631946960 is 696491361.

1631946960 is a `hidden beast` number, since 1 + 631 + 9 + 4 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631946961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1798827 + ... + 1799733.

It is an arithmetic number, because the mean of its divisors is an integer number (14439924).

Almost surely, 2^1631946960 is an apocalyptic number.

1631946960 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 1631946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465581760).

1631946960 is an abundant number, since it is smaller than the sum of its proper divisors (5299216560).

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

1631946960 is a wasteful number, since it uses less digits than its factorization.

1631946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1631946960 is about 40397.3632802934. The cubic root of 1631946960 is about 1177.3403085803.

The spelling of 1631946960 in words is "one billion, six hundred thirty-one million, nine hundred forty-six thousand, nine hundred sixty".