1631632640 has 72 divisors (see below), whose sum is σ = 4263604128. Its totient is φ = 593315840.

The previous prime is 1631632631. The next prime is 1631632649. The reversal of 1631632640 is 462361361.

It is an interprime number because it is at equal distance from previous prime (1631632631) and next prime (1631632649).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1631632597 and 1631632606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631632649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43862 + ... + 72021.

It is an arithmetic number, because the mean of its divisors is an integer number (59216724).

Almost surely, 2^1631632640 is an apocalyptic number.

1631632640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1631632640 is an abundant number, since it is smaller than the sum of its proper divisors (2631971488).

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

1631632640 is a wasteful number, since it uses less digits than its factorization.

1631632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115915 (or 115901 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1631632640 is about 40393.4727400356. The cubic root of 1631632640 is about 1177.2647167921.

The spelling of 1631632640 in words is "one billion, six hundred thirty-one million, six hundred thirty-two thousand, six hundred forty".