1631672640 has 448 divisors, whose sum is σ = 6315456000. Its totient is φ = 394149888.

The previous prime is 1631672621. The next prime is 1631672663. The reversal of 1631672640 is 462761361.

It is a happy number.

1631672640 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 6 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1631672595 and 1631672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8199261 + ... + 8199459.

It is an arithmetic number, because the mean of its divisors is an integer number (14097000).

Almost surely, 2^1631672640 is an apocalyptic number.

1631672640 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 1631672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728000).

1631672640 is an abundant number, since it is smaller than the sum of its proper divisors (4683783360).

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

1631672640 is a wasteful number, since it uses less digits than its factorization.

1631672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1631672640 is about 40393.9678665020. The cubic root of 1631672640 is about 1177.2743370548.

The spelling of 1631672640 in words is "one billion, six hundred thirty-one million, six hundred seventy-two thousand, six hundred forty".