1630013220 has 480 divisors, whose sum is σ = 6024243456. Its totient is φ = 364953600.

The previous prime is 1630013183. The next prime is 1630013233. The reversal of 1630013220 is 223100361.

1630013220 is a `hidden beast` number, since 1 + 630 + 0 + 1 + 32 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1630013193 and 1630013202.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16804212 + ... + 16804308.

Almost surely, 2^1630013220 is an apocalyptic number.

1630013220 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 1630013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012121728).

1630013220 is an abundant number, since it is smaller than the sum of its proper divisors (4394230236).

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

1630013220 is a wasteful number, since it uses less digits than its factorization.

1630013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1630013220 is about 40373.4221982730. The cubic root of 1630013220 is about 1176.8751035365.

Adding to 1630013220 its reverse (223100361), we get a palindrome (1853113581).

The spelling of 1630013220 in words is "one billion, six hundred thirty million, thirteen thousand, two hundred twenty".