665882100 has 288 divisors, whose sum is σ = 2350682880. Its totient is φ = 160704000.

The previous prime is 665882099. The next prime is 665882101. The reversal of 665882100 is 1288566.

It is a happy number.

665882100 is a `hidden beast` number, since 66 + 588 + 2 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (665882099) and next prime (665882101).

It is a super-2 number, since 2×665882100² = 886797942200820000, which contains 22 as substring.

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 (665882101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2140945 + ... + 2141255.

Almost surely, 2^665882100 is an apocalyptic number.

665882100 is a gapful number since it is divisible by the number (60) 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 665882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175341440).

665882100 is an abundant number, since it is smaller than the sum of its proper divisors (1684800780).

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

665882100 is a wasteful number, since it uses less digits than its factorization.

665882100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 665882100 is about 25804.6914339234. The cubic root of 665882100 is about 873.2376391597.

The spelling of 665882100 in words is "six hundred sixty-five million, eight hundred eighty-two thousand, one hundred".