1664382100 has 36 divisors (see below), whose sum is σ = 3709331164. Its totient is φ = 647758080.

The previous prime is 1664382077. The next prime is 1664382103. The reversal of 1664382100 is 12834661.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 77475204 + 1586906896 = 8802^2 + 39836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664382103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221217 + ... + 228616.

Almost surely, 2^1664382100 is an apocalyptic number.

1664382100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664382100 is an abundant number, since it is smaller than the sum of its proper divisors (2044949064).

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

1664382100 is a wasteful number, since it uses less digits than its factorization.

1664382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449884 (or 449877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1664382100 is about 40796.8393383605. The cubic root of 1664382100 is about 1185.0891231254.

The spelling of 1664382100 in words is "one billion, six hundred sixty-four million, three hundred eighty-two thousand, one hundred".