1598611968 has 270 divisors, whose sum is σ = 5031450567. Its totient is φ = 488540160.

The previous prime is 1598611939. The next prime is 1598611981. The reversal of 1598611968 is 8691168951.

1598611968 = 357³ + 358³ + ... + 387³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1598611968 is a `hidden beast` number, since 15 + 9 + 8 + 611 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 799305984 + 799305984 = 28272^2 + 28272^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=28272.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51568113 + ... + 51568143.

Almost surely, 2^1598611968 is an apocalyptic number.

1598611968 is a gapful number since it is divisible by the number (18) 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 1598611968

1598611968 is an abundant number, since it is smaller than the sum of its proper divisors (3432838599).

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

1598611968 is an equidigital number, since it uses as much as digits as its factorization.

1598611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 55 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The square root of 1598611968 is about 39982.6458354121. The cubic root of 1598611968 is about 1169.2687782516.

The spelling of 1598611968 in words is "one billion, five hundred ninety-eight million, six hundred eleven thousand, nine hundred sixty-eight".