667560960 has 352 divisors, whose sum is σ = 2593958400. Its totient is φ = 161464320.

The previous prime is 667560911. The next prime is 667560961. The reversal of 667560960 is 69065766.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×667560960² = 891275270632243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (667560961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1520421 + ... + 1520859.

It is an arithmetic number, because the mean of its divisors is an integer number (7369200).

Almost surely, 2^667560960 is an apocalyptic number.

667560960 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 667560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296979200).

667560960 is an abundant number, since it is smaller than the sum of its proper divisors (1926397440).

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

667560960 is a wasteful number, since it uses less digits than its factorization.

667560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 667560960 is about 25837.2010868050. The cubic root of 667560960 is about 873.9709087954.

The spelling of 667560960 in words is "six hundred sixty-seven million, five hundred sixty thousand, nine hundred sixty".