667420560 has 200 divisors, whose sum is σ = 2339183616. Its totient is φ = 176359680.

The previous prime is 667420549. The next prime is 667420609. The reversal of 667420560 is 65024766.

667420560 is a `hidden beast` number, since 6 + 6 + 74 + 20 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 822555 + ... + 823365.

Almost surely, 2^667420560 is an apocalyptic number.

667420560 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 667420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169591808).

667420560 is an abundant number, since it is smaller than the sum of its proper divisors (1671763056).

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

667420560 is a wasteful number, since it uses less digits than its factorization.

667420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 667420560 is about 25834.4839313658. The cubic root of 667420560 is about 873.9096339325.

The spelling of 667420560 in words is "six hundred sixty-seven million, four hundred twenty thousand, five hundred sixty".