68880 has 80 divisors (see below), whose sum is σ = 249984. Its totient is φ = 15360.

The previous prime is 68879. The next prime is 68881. The reversal of 68880 is 8886.

It is an interprime number because it is at equal distance from previous prime (68879) and next prime (68881).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68881) 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 15 ways as a sum of consecutive naturals, for example, 1660 + ... + 1700.

2⁶⁸⁸⁸⁰ is an apocalyptic number.

68880 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 68880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

68880 is an abundant number, since it is smaller than the sum of its proper divisors (181104).

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

68880 is a wasteful number, since it uses less digits than its factorization.

68880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 68880 is about 262.4499952372. The cubic root of 68880 is about 40.9918683060.

The spelling of 68880 in words is "sixty-eight thousand, eight hundred eighty".