1630107072 has 224 divisors, whose sum is σ = 5266944000. Its totient is φ = 490291200.

The previous prime is 1630107043. The next prime is 1630107077. The reversal of 1630107072 is 2707010361.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630107077) 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 31 ways as a sum of consecutive naturals, for example, 3630304 + ... + 3630752.

Almost surely, 2^1630107072 is an apocalyptic number.

1630107072 is a gapful number since it is divisible by the number (12) 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 1630107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633472000).

1630107072 is an abundant number, since it is smaller than the sum of its proper divisors (3636836928).

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

1630107072 is a wasteful number, since it uses less digits than its factorization.

1630107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1630107072 is about 40374.5844808340. The cubic root of 1630107072 is about 1176.8976902577.

The spelling of 1630107072 in words is "one billion, six hundred thirty million, one hundred seven thousand, seventy-two".