1606056640 has 112 divisors (see below), whose sum is σ = 4099328352. Its totient is φ = 597180416.

The previous prime is 1606056637. The next prime is 1606056653. The reversal of 1606056640 is 466506061.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1606056596 and 1606056605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449742 + ... + 453298.

It is an arithmetic number, because the mean of its divisors is an integer number (36601146).

Almost surely, 2^1606056640 is an apocalyptic number.

1606056640 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 1606056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049664176).

1606056640 is an abundant number, since it is smaller than the sum of its proper divisors (2493271712).

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

1606056640 is a wasteful number, since it uses less digits than its factorization.

1606056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1606056640 is about 40075.6364890191. The cubic root of 1606056640 is about 1171.0810472469.

The spelling of 1606056640 in words is "one billion, six hundred six million, fifty-six thousand, six hundred forty".