1630416000 has 128 divisors (see below), whose sum is σ = 5404988160. Its totient is φ = 434764800.

The previous prime is 1630415987. The next prime is 1630416013. The reversal of 1630416000 is 6140361.

It is an interprime number because it is at equal distance from previous prime (1630415987) and next prime (1630416013).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31017 + ... + 64983.

It is an arithmetic number, because the mean of its divisors is an integer number (42226470).

Almost surely, 2^1630416000 is an apocalyptic number.

1630416000 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 1630416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702494080).

1630416000 is an abundant number, since it is smaller than the sum of its proper divisors (3774572160).

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

1630416000 is an equidigital number, since it uses as much as digits as its factorization.

1630416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33999 (or 33977 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1630416000 is about 40378.4100727109. The cubic root of 1630416000 is about 1176.9720317311.

Adding to 1630416000 its reverse (6140361), we get a palindrome (1636556361).

The spelling of 1630416000 in words is "one billion, six hundred thirty million, four hundred sixteen thousand".