1998466560 has 320 divisors, whose sum is σ = 7350868800. Its totient is φ = 514031616.

The previous prime is 1998466549. The next prime is 1998466577. The reversal of 1998466560 is 656648991.

It is a happy number.

1998466560 is a `hidden beast` number, since 19 + 9 + 8 + 4 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 1998466497 and 1998466506.

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, 2003982 + ... + 2004978.

It is an arithmetic number, because the mean of its divisors is an integer number (22971465).

Almost surely, 2^1998466560 is an apocalyptic number.

1998466560 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 1998466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675434400).

1998466560 is an abundant number, since it is smaller than the sum of its proper divisors (5352402240).

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

1998466560 is an equidigital number, since it uses as much as digits as its factorization.

1998466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 1998466560 is about 44704.2118821035. The cubic root of 1998466560 is about 1259.5989653422.

The spelling of 1998466560 in words is "one billion, nine hundred ninety-eight million, four hundred sixty-six thousand, five hundred sixty".