1605582848 has 90 divisors (see below), whose sum is σ = 3349508274. Its totient is φ = 769327104.

The previous prime is 1605582809. The next prime is 1605582857. The reversal of 1605582848 is 8482855061.

It can be written as a sum of positive squares in only one way, i.e., 1484406784 + 121176064 = 38528^2 + 11008^2 .

It is a super-2 number, since 2×1605582848² = 5155792563583582208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30293990 + ... + 30294042.

Almost surely, 2^1605582848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1605582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674754137).

1605582848 is an abundant number, since it is smaller than the sum of its proper divisors (1743925426).

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

1605582848 is an frugal number, since it uses more digits than its factorization.

1605582848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 47.

The square root of 1605582848 is about 40069.7248306000. The cubic root of 1605582848 is about 1170.9658783321.

The spelling of 1605582848 in words is "one billion, six hundred five million, five hundred eighty-two thousand, eight hundred forty-eight".