1608873840 has 420 divisors, whose sum is σ = 6535624104. Its totient is φ = 367089408.

The previous prime is 1608873823. The next prime is 1608873901. The reversal of 1608873840 is 483788061.

1608873840 is a `hidden beast` number, since 1 + 608 + 8 + 7 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857399 + ... + 2857961.

Almost surely, 2^1608873840 is an apocalyptic number.

1608873840 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 1608873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267812052).

1608873840 is an abundant number, since it is smaller than the sum of its proper divisors (4926750264).

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

1608873840 is an equidigital number, since it uses as much as digits as its factorization.

1608873840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1608873840 is about 40110.7696261241. The cubic root of 1608873840 is about 1171.7653822586.

The spelling of 1608873840 in words is "one billion, six hundred eight million, eight hundred seventy-three thousand, eight hundred forty".