1630680960 has 128 divisors (see below), whose sum is σ = 5212771200. Its totient is φ = 433596416.

The previous prime is 1630680943. The next prime is 1630680967. The reversal of 1630680960 is 690860361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630680967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803467 + ... + 805493.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 2^1630680960 is an apocalyptic number.

1630680960 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 1630680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606385600).

1630680960 is an abundant number, since it is smaller than the sum of its proper divisors (3582090240).

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

1630680960 is a wasteful number, since it uses less digits than its factorization.

1630680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2456 counting only the distinct ones).

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

The square root of 1630680960 is about 40381.6909007040. The cubic root of 1630680960 is about 1177.0357851163.

The spelling of 1630680960 in words is "one billion, six hundred thirty million, six hundred eighty thousand, nine hundred sixty".