1663946100 has 108 divisors (see below), whose sum is σ = 5229806764. Its totient is φ = 442506240.

The previous prime is 1663946087. The next prime is 1663946101. The reversal of 1663946100 is 16493661.

1663946100 is a `hidden beast` number, since 1 + 6 + 6 + 39 + 4 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 118984464 + 1544961636 = 10908^2 + 39306^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663946101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 354972 + ... + 359628.

Almost surely, 2^1663946100 is an apocalyptic number.

1663946100 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 1663946100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614903382).

1663946100 is an abundant number, since it is smaller than the sum of its proper divisors (3565860664).

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

1663946100 is a wasteful number, since it uses less digits than its factorization.

1663946100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1663946100 is about 40791.4954371619. The cubic root of 1663946100 is about 1184.9856324701.

The spelling of 1663946100 in words is "one billion, six hundred sixty-three million, nine hundred forty-six thousand, one hundred".