1598416560 has 240 divisors, whose sum is σ = 5809003200. Its totient is φ = 391550976.

The previous prime is 1598416499. The next prime is 1598416571. The reversal of 1598416560 is 656148951.

1598416560 is a `hidden beast` number, since 1 + 5 + 9 + 84 + 1 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3640821 + ... + 3641259.

It is an arithmetic number, because the mean of its divisors is an integer number (24204180).

Almost surely, 2^1598416560 is an apocalyptic number.

1598416560 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 1598416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904501600).

1598416560 is an abundant number, since it is smaller than the sum of its proper divisors (4210586640).

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

1598416560 is a wasteful number, since it uses less digits than its factorization.

1598416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1598416560 is about 39980.2021005397. The cubic root of 1598416560 is about 1169.2211340477.

The spelling of 1598416560 in words is "one billion, five hundred ninety-eight million, four hundred sixteen thousand, five hundred sixty".