67656720 has 160 divisors (see below), whose sum is σ = 227306880. Its totient is φ = 16588800.

The previous prime is 67656713. The next prime is 67656749. The reversal of 67656720 is 2765676.

It is a super-3 number, since 3×67656720³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 168520 + ... + 168920.

It is an arithmetic number, because the mean of its divisors is an integer number (1420668).

Almost surely, 2^67656720 is an apocalyptic number.

67656720 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 67656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113653440).

67656720 is an abundant number, since it is smaller than the sum of its proper divisors (159650160).

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

67656720 is a wasteful number, since it uses less digits than its factorization.

67656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 67656720 is about 8225.3705083723. The cubic root of 67656720 is about 407.4775126537.

The spelling of 67656720 in words is "sixty-seven million, six hundred fifty-six thousand, seven hundred twenty".