1629940688 has 80 divisors (see below), whose sum is σ = 3546648000. Its totient is φ = 721115136.

The previous prime is 1629940639. The next prime is 1629940717. The reversal of 1629940688 is 8860499261.

It is a happy number.

It is a plaindrome in base 14.

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, 717218 + ... + 719486.

It is an arithmetic number, because the mean of its divisors is an integer number (44333100).

Almost surely, 2^1629940688 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 1629940688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773324000).

1629940688 is an abundant number, since it is smaller than the sum of its proper divisors (1916707312).

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

1629940688 is a wasteful number, since it uses less digits than its factorization.

1629940688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The square root of 1629940688 is about 40372.5239240749. The cubic root of 1629940688 is about 1176.8576471605.

The spelling of 1629940688 in words is "one billion, six hundred twenty-nine million, nine hundred forty thousand, six hundred eighty-eight".