1598136960 has 192 divisors, whose sum is σ = 5926093920. Its totient is φ = 365266944.

The previous prime is 1598136887. The next prime is 1598136971. The reversal of 1598136960 is 696318951.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85587 + ... + 102573.

Almost surely, 2^1598136960 is an apocalyptic number.

1598136960 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 1598136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963046960).

1598136960 is an abundant number, since it is smaller than the sum of its proper divisors (4327956960).

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

1598136960 is a wasteful number, since it uses less digits than its factorization.

1598136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17023 (or 17004 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1598136960 is about 39976.7052169135. The cubic root of 1598136960 is about 1169.1529554721.

The spelling of 1598136960 in words is "one billion, five hundred ninety-eight million, one hundred thirty-six thousand, nine hundred sixty".