667311120 has 120 divisors (see below), whose sum is σ = 2561222976. Its totient is φ = 152527104.

The previous prime is 667311107. The next prime is 667311137. The reversal of 667311120 is 21113766.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61162 + ... + 71241.

Almost surely, 2^667311120 is an apocalyptic number.

667311120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667311120 is an abundant number, since it is smaller than the sum of its proper divisors (1893911856).

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

667311120 is a wasteful number, since it uses less digits than its factorization.

667311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132429 (or 132420 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 667311120 is about 25832.3657453203. The cubic root of 667311120 is about 873.8618650023.

Adding to 667311120 its reverse (21113766), we get a palindrome (688424886).

The spelling of 667311120 in words is "six hundred sixty-seven million, three hundred eleven thousand, one hundred twenty".