1606563840 has 384 divisors, whose sum is σ = 6088642560. Its totient is φ = 353894400.

The previous prime is 1606563817. The next prime is 1606563841. The reversal of 1606563840 is 483656061.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606563841) 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, 6666120 + ... + 6666360.

It is an arithmetic number, because the mean of its divisors is an integer number (15855840).

Almost surely, 2^1606563840 is an apocalyptic number.

1606563840 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 1606563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044321280).

1606563840 is an abundant number, since it is smaller than the sum of its proper divisors (4482078720).

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

1606563840 is a wasteful number, since it uses less digits than its factorization.

1606563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1606563840 is about 40081.9640237352. The cubic root of 1606563840 is about 1171.2043118477.

The spelling of 1606563840 in words is "one billion, six hundred six million, five hundred sixty-three thousand, eight hundred forty".