1630308680 has 256 divisors, whose sum is σ = 5186764800. Its totient is φ = 444165120.

The previous prime is 1630308671. The next prime is 1630308683. The reversal of 1630308680 is 868030361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1630308680.

It is not an unprimeable number, because it can be changed into a prime (1630308683) 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 63 ways as a sum of consecutive naturals, for example, 759689 + ... + 761831.

It is an arithmetic number, because the mean of its divisors is an integer number (20260800).

Almost surely, 2^1630308680 is an apocalyptic number.

1630308680 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 1630308680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593382400).

1630308680 is an abundant number, since it is smaller than the sum of its proper divisors (3556456120).

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

1630308680 is a wasteful number, since it uses less digits than its factorization.

1630308680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1630308680 is about 40377.0811228350. The cubic root of 1630308680 is about 1176.9462069498.

The spelling of 1630308680 in words is "one billion, six hundred thirty million, three hundred eight thousand, six hundred eighty".