667534560 has 192 divisors, whose sum is σ = 2621735424. Its totient is φ = 138700800.

The previous prime is 667534559. The next prime is 667534577. The reversal of 667534560 is 65435766.

667534560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27930 + ... + 45990.

It is an arithmetic number, because the mean of its divisors is an integer number (13654872).

Almost surely, 2^667534560 is an apocalyptic number.

667534560 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 667534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310867712).

667534560 is an abundant number, since it is smaller than the sum of its proper divisors (1954200864).

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

667534560 is a wasteful number, since it uses less digits than its factorization.

667534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18097 (or 18089 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 667534560 is about 25836.6901905023. The cubic root of 667534560 is about 873.9593876822.

The spelling of 667534560 in words is "six hundred sixty-seven million, five hundred thirty-four thousand, five hundred sixty".