1005598560 has 192 divisors, whose sum is σ = 3383493120. Its totient is φ = 250306560.

The previous prime is 1005598549. The next prime is 1005598567. The reversal of 1005598560 is 658955001.

It is a super-2 number, since 2×1005598560² = 2022456927748147200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005598567) 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, 646744 + ... + 648296.

It is an arithmetic number, because the mean of its divisors is an integer number (17622360).

Almost surely, 2^1005598560 is an apocalyptic number.

1005598560 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 1005598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691746560).

1005598560 is an abundant number, since it is smaller than the sum of its proper divisors (2377894560).

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

1005598560 is a wasteful number, since it uses less digits than its factorization.

1005598560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 1005598560 is about 31711.1740558435. The cubic root of 1005598560 is about 1001.8627148059.

The spelling of 1005598560 in words is "one billion, five million, five hundred ninety-eight thousand, five hundred sixty".