1608099840 has 144 divisors (see below), whose sum is σ = 5573704500. Its totient is φ = 428802048.

The previous prime is 1608099833. The next prime is 1608099841. The reversal of 1608099840 is 489908061.

It can be written as a sum of positive squares in 2 ways, for example, as 1481942016 + 126157824 = 38496^2 + 11232^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1608099841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83436 + ... + 100884.

Almost surely, 2^1608099840 is an apocalyptic number.

1608099840 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 1608099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786852250).

1608099840 is an abundant number, since it is smaller than the sum of its proper divisors (3965604660).

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

1608099840 is a wasteful number, since it uses less digits than its factorization.

1608099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17482 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1608099840 is about 40101.1201838552. The cubic root of 1608099840 is about 1171.5774470995.

The spelling of 1608099840 in words is "one billion, six hundred eight million, ninety-nine thousand, eight hundred forty".