68580480 has 128 divisors (see below), whose sum is σ = 228251520. Its totient is φ = 17481728.

The previous prime is 68580439. The next prime is 68580509. The reversal of 68580480 is 8408586.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43384 + ... + 44936.

It is an arithmetic number, because the mean of its divisors is an integer number (1783215).

Almost surely, 2^68580480 is an apocalyptic number.

68580480 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 68580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114125760).

68580480 is an abundant number, since it is smaller than the sum of its proper divisors (159671040).

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

68580480 is a wasteful number, since it uses less digits than its factorization.

68580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 68580480 is about 8281.3332259969. Note that the first 3 decimals coincide. The cubic root of 68580480 is about 409.3236518935.

The spelling of 68580480 in words is "sixty-eight million, five hundred eighty thousand, four hundred eighty".