1663585980 has 96 divisors (see below), whose sum is σ = 5330949120. Its totient is φ = 379714560.

The previous prime is 1663585967. The next prime is 1663585993. The reversal of 1663585980 is 895853661.

It is an interprime number because it is at equal distance from previous prime (1663585967) and next prime (1663585993).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 350020 + ... + 354740.

It is an arithmetic number, because the mean of its divisors is an integer number (55530720).

Almost surely, 2^1663585980 is an apocalyptic number.

1663585980 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 1663585980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665474560).

1663585980 is an abundant number, since it is smaller than the sum of its proper divisors (3667363140).

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

1663585980 is a wasteful number, since it uses less digits than its factorization.

1663585980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 1663585980 is about 40787.0810428989. The cubic root of 1663585980 is about 1184.9001393533.

The spelling of 1663585980 in words is "one billion, six hundred sixty-three million, five hundred eighty-five thousand, nine hundred eighty".