665133600 has 144 divisors (see below), whose sum is σ = 2173735872. Its totient is φ = 176655360.

The previous prime is 665133593. The next prime is 665133631. The reversal of 665133600 is 6331566.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894829 + ... + 895571.

It is an arithmetic number, because the mean of its divisors is an integer number (15095388).

Almost surely, 2^665133600 is an apocalyptic number.

665133600 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 665133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086867936).

665133600 is an abundant number, since it is smaller than the sum of its proper divisors (1508602272).

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

665133600 is a wasteful number, since it uses less digits than its factorization.

665133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 665133600 is about 25790.1841792570. The cubic root of 665133600 is about 872.9103222414.

The spelling of 665133600 in words is "six hundred sixty-five million, one hundred thirty-three thousand, six hundred".