1629243616 has 192 divisors, whose sum is σ = 4535032320. Its totient is φ = 554895360.

The previous prime is 1629243529. The next prime is 1629243631. The reversal of 1629243616 is 6163429261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607270 + ... + 609946.

It is an arithmetic number, because the mean of its divisors is an integer number (23619960).

Almost surely, 2^1629243616 is an apocalyptic number.

1629243616 is a gapful number since it is divisible by the number (16) 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 1629243616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267516160).

1629243616 is an abundant number, since it is smaller than the sum of its proper divisors (2905788704).

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

1629243616 is a wasteful number, since it uses less digits than its factorization.

1629243616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 1629243616 is about 40363.8900008411. The cubic root of 1629243616 is about 1176.6898554746.

The spelling of 1629243616 in words is "one billion, six hundred twenty-nine million, two hundred forty-three thousand, six hundred sixteen".