1665456100 has 243 divisors, whose sum is σ = 4709855451. Its totient is φ = 509308800.

The previous prime is 1665456073. The next prime is 1665456101. The reversal of 1665456100 is 16545661.

It is a happy number.

The square root of 1665456100 is 40810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12545764 + 1652910336 = 3542^2 + 40656^2 .

It is not an unprimeable number, because it can be changed into a prime (1665456101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31423674 + ... + 31423726.

Almost surely, 2^1665456100 is an apocalyptic number.

1665456100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1665456100 is the 40810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1665456100

1665456100 is an abundant number, since it is smaller than the sum of its proper divisors (3044399351).

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

1665456100 is a wasteful number, since it uses less digits than its factorization.

1665456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The cubic root of 1665456100 is about 1185.3439748702.

The spelling of 1665456100 in words is "one billion, six hundred sixty-five million, four hundred fifty-six thousand, one hundred".