1988568960 has 384 divisors, whose sum is σ = 7702387200. Its totient is φ = 434294784.

The previous prime is 1988568949. The next prime is 1988569007. The reversal of 1988568960 is 698658891.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1988568894 and 1988568903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163381 + ... + 2164299.

It is an arithmetic number, because the mean of its divisors is an integer number (20058300).

Almost surely, 2^1988568960 is an apocalyptic number.

1988568960 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 1988568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851193600).

1988568960 is an abundant number, since it is smaller than the sum of its proper divisors (5713818240).

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

1988568960 is a wasteful number, since it uses less digits than its factorization.

1988568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The square root of 1988568960 is about 44593.3734987610. The cubic root of 1988568960 is about 1257.5160942149.

The spelling of 1988568960 in words is "one billion, nine hundred eighty-eight million, five hundred sixty-eight thousand, nine hundred sixty".