1598145984 has 224 divisors, whose sum is σ = 4974336000. Its totient is φ = 502115328.

The previous prime is 1598145977. The next prime is 1598146021. The reversal of 1598145984 is 4895418951.

1598145984 is a `hidden beast` number, since 1 + 598 + 1 + 45 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1598145984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139522 + ... + 3140030.

Almost surely, 2^1598145984 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 1598145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487168000).

1598145984 is an abundant number, since it is smaller than the sum of its proper divisors (3376190016).

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

1598145984 is a wasteful number, since it uses less digits than its factorization.

1598145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 1598145984 is about 39976.8180824838. The cubic root of 1598145984 is about 1169.1551560379.

The spelling of 1598145984 in words is "one billion, five hundred ninety-eight million, one hundred forty-five thousand, nine hundred eighty-four".