68480 has 32 divisors (see below), whose sum is σ = 165240. Its totient is φ = 27136.

The previous prime is 68477. The next prime is 68483. The reversal of 68480 is 8486.

68480 = T₁₆₃ + T₁₆₄ + ... + T₁₆₇.

It is an interprime number because it is at equal distance from previous prime (68477) and next prime (68483).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 587 + ... + 693.

2⁶⁸⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620).

68480 is an abundant number, since it is smaller than the sum of its proper divisors (96760).

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

68480 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (68479) it forms an eRAP, since the sums of their prime factors are consecutive (125 and 126).

68480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 68480 is about 261.6868357407. The cubic root of 68480 is about 40.9123648708.

It can be divided in two parts, 68 and 480, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 68480 in words is "sixty-eight thousand, four hundred eighty".