1605006720 has 384 divisors, whose sum is σ = 6040513440. Its totient is φ = 391053312.

The previous prime is 1605006719. The next prime is 1605006731. The reversal of 1605006720 is 276005061.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622819 + ... + 3623261.

Almost surely, 2^1605006720 is an apocalyptic number.

1605006720 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 1605006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020256720).

1605006720 is an abundant number, since it is smaller than the sum of its proper divisors (4435506720).

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

1605006720 is a wasteful number, since it uses less digits than its factorization.

1605006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1605006720 is about 40062.5351169893. The cubic root of 1605006720 is about 1170.8258031484.

The spelling of 1605006720 in words is "one billion, six hundred five million, six thousand, seven hundred twenty".