1998564960 has 384 divisors, whose sum is σ = 7499520000. Its totient is φ = 447068160.

The previous prime is 1998564907. The next prime is 1998564979. The reversal of 1998564960 is 694658991.

It is a super-3 number, since 3×1998564960³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1998564960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10042941 + ... + 10043139.

It is an arithmetic number, because the mean of its divisors is an integer number (19530000).

Almost surely, 2^1998564960 is an apocalyptic number.

1998564960 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 1998564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760000).

1998564960 is an abundant number, since it is smaller than the sum of its proper divisors (5500955040).

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

1998564960 is a wasteful number, since it uses less digits than its factorization.

1998564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 1998564960 is about 44705.3124359958. The cubic root of 1998564960 is about 1259.6196382765.

The spelling of 1998564960 in words is "one billion, nine hundred ninety-eight million, five hundred sixty-four thousand, nine hundred sixty".