1608418944 has 224 divisors, whose sum is σ = 5244301440. Its totient is φ = 487088640.

The previous prime is 1608418939. The next prime is 1608418949. The reversal of 1608418944 is 4498148061.

1608418944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1608418939) and next prime (1608418949).

It is a super-2 number, since 2×1608418944² = 5174022998836150272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1608418944.

It is not an unprimeable number, because it can be changed into a prime (1608418949) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1025649 + ... + 1027215.

It is an arithmetic number, because the mean of its divisors is an integer number (23412060).

Almost surely, 2^1608418944 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 1608418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622150720).

1608418944 is an abundant number, since it is smaller than the sum of its proper divisors (3635882496).

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

1608418944 is an equidigital number, since it uses as much as digits as its factorization.

1608418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1608418944 is about 40105.0987282166. The cubic root of 1608418944 is about 1171.6549361365.

The spelling of 1608418944 in words is "one billion, six hundred eight million, four hundred eighteen thousand, nine hundred forty-four".