1630948224 has 128 divisors (see below), whose sum is σ = 4455751680. Its totient is φ = 528353280.

The previous prime is 1630948181. The next prime is 1630948243. The reversal of 1630948224 is 4228490361.

It is a Cunningham number, because it is equal to 40385²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2584389 + ... + 2585019.

It is an arithmetic number, because the mean of its divisors is an integer number (34810560).

Almost surely, 2^1630948224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227875840).

1630948224 is an abundant number, since it is smaller than the sum of its proper divisors (2824803456).

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

1630948224 is a wasteful number, since it uses less digits than its factorization.

1630948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1630948224 is about 40384.9999876192. Note that the first 4 decimals coincide. The cubic root of 1630948224 is about 1177.1000858829.

The spelling of 1630948224 in words is "one billion, six hundred thirty million, nine hundred forty-eight thousand, two hundred twenty-four".