67686560 has 48 divisors (see below), whose sum is σ = 160442856. Its totient is φ = 26984448.

The previous prime is 67686559. The next prime is 67686581. The reversal of 67686560 is 6568676.

It can be written as a sum of positive squares in 4 ways, for example, as 56370064 + 11316496 = 7508^2 + 3364^2 .

It is a super-3 number, since 3×67686560³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68792 + ... + 69768.

Almost surely, 2^67686560 is an apocalyptic number.

It is an amenable number.

67686560 is an abundant number, since it is smaller than the sum of its proper divisors (92756296).

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

67686560 is a wasteful number, since it uses less digits than its factorization.

67686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 67686560 is about 8227.1842084640. The cubic root of 67686560 is about 407.5374098417.

The spelling of 67686560 in words is "sixty-seven million, six hundred eighty-six thousand, five hundred sixty".