67656960 has 216 divisors, whose sum is σ = 267845760. Its totient is φ = 15446016.

The previous prime is 67656949. The next prime is 67656977. The reversal of 67656960 is 6965676.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 80221 + ... + 81059.

Almost surely, 2^67656960 is an apocalyptic number.

67656960 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 67656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

67656960 is an abundant number, since it is smaller than the sum of its proper divisors (200188800).

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

67656960 is a wasteful number, since it uses less digits than its factorization.

67656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 856 counting only the distinct ones).

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

The square root of 67656960 is about 8225.3850973678. The cubic root of 67656960 is about 407.4779944708.

The spelling of 67656960 in words is "sixty-seven million, six hundred fifty-six thousand, nine hundred sixty".