1630208160 has 768 divisors, whose sum is σ = 7060193280. Its totient is φ = 343388160.

The previous prime is 1630208143. The next prime is 1630208171. The reversal of 1630208160 is 618020361.

1630208160 is a `hidden beast` number, since 1 + 630 + 20 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34685257 + ... + 34685303.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2^1630208160 is an apocalyptic number.

1630208160 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 1630208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

1630208160 is an abundant number, since it is smaller than the sum of its proper divisors (5429985120).

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

1630208160 is a wasteful number, since it uses less digits than its factorization.

1630208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1630208160 is about 40375.8363380872. The cubic root of 1630208160 is about 1176.9220174480.

The spelling of 1630208160 in words is "one billion, six hundred thirty million, two hundred eight thousand, one hundred sixty".