1608974040 has 128 divisors (see below), whose sum is σ = 4945536000. Its totient is φ = 418649088.

The previous prime is 1608973981. The next prime is 1608974041. The reversal of 1608974040 is 404798061.

It is a happy number.

It is a super-2 number, since 2×1608974040² = 5177594922787843200, 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 1608974040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608974041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842767 + ... + 844673.

It is an arithmetic number, because the mean of its divisors is an integer number (38637000).

Almost surely, 2^1608974040 is an apocalyptic number.

1608974040 is a gapful number since it is divisible by the number (10) 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 1608974040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472768000).

1608974040 is an abundant number, since it is smaller than the sum of its proper divisors (3336561960).

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

1608974040 is a wasteful number, since it uses less digits than its factorization.

1608974040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1608974040 is about 40112.0186477819. The cubic root of 1608974040 is about 1171.7897074421.

The spelling of 1608974040 in words is "one billion, six hundred eight million, nine hundred seventy-four thousand, forty".