1620382016 has 168 divisors, whose sum is σ = 3876751200. Its totient is φ = 664519680.

The previous prime is 1620381953. The next prime is 1620382019. The reversal of 1620382016 is 6102830261.

It is a self number, because there is not a number n which added to its sum of digits gives 1620382016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620382019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7075790 + ... + 7076018.

It is an arithmetic number, because the mean of its divisors is an integer number (23075900).

Almost surely, 2^1620382016 is an apocalyptic number.

1620382016 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 1620382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938375600).

1620382016 is an abundant number, since it is smaller than the sum of its proper divisors (2256369184).

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

1620382016 is a wasteful number, since it uses less digits than its factorization.

1620382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1620382016 is about 40253.9689471734. The cubic root of 1620382016 is about 1174.5526025072.

The spelling of 1620382016 in words is "one billion, six hundred twenty million, three hundred eighty-two thousand, sixteen".