665007120 has 120 divisors (see below), whose sum is σ = 2310399000. Its totient is φ = 171214848.

The previous prime is 665007043. The next prime is 665007121. The reversal of 665007120 is 21700566.

665007120 is a `hidden beast` number, since 6 + 650 + 0 + 7 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72182016 + 592825104 = 8496^2 + 24348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665007121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4956 + ... + 36804.

It is an arithmetic number, because the mean of its divisors is an integer number (19253325).

Almost surely, 2^665007120 is an apocalyptic number.

665007120 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 665007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155199500).

665007120 is an abundant number, since it is smaller than the sum of its proper divisors (1645391880).

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

665007120 is a wasteful number, since it uses less digits than its factorization.

665007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31897 (or 31888 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 665007120 is about 25787.7319669644. The cubic root of 665007120 is about 872.8549886480.

Adding to 665007120 its reverse (21700566), we get a palindrome (686707686).

The spelling of 665007120 in words is "six hundred sixty-five million, seven thousand, one hundred twenty".