1630132000 has 144 divisors (see below), whose sum is σ = 4659710328. Its totient is φ = 558835200.

The previous prime is 1630131991. The next prime is 1630132001. The reversal of 1630132000 is 2310361.

It can be written as a sum of positive squares in 4 ways, for example, as 999318544 + 630813456 = 31612^2 + 25116^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1630132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191842 + ... + 200158.

Almost surely, 2^1630132000 is an apocalyptic number.

1630132000 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 1630132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329855164).

1630132000 is an abundant number, since it is smaller than the sum of its proper divisors (3029578328).

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

1630132000 is an equidigital number, since it uses as much as digits as its factorization.

1630132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1630132000 is about 40374.8931887132. The cubic root of 1630132000 is about 1176.9036893639.

Adding to 1630132000 its reverse (2310361), we get a palindrome (1632442361).

The spelling of 1630132000 in words is "one billion, six hundred thirty million, one hundred thirty-two thousand".