68808960 has 288 divisors, whose sum is σ = 267845760. Its totient is φ = 16588800.

The previous prime is 68808959. The next prime is 68808973. The reversal of 68808960 is 6980886.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380070 + ... + 380250.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^68808960 is an apocalyptic number.

68808960 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 68808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

68808960 is an abundant number, since it is smaller than the sum of its proper divisors (199036800).

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

68808960 is a wasteful number, since it uses less digits than its factorization.

68808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 68808960 is about 8295.1166357080. The cubic root of 68808960 is about 409.7777101592. Note that the first 4 decimals are identical.

The spelling of 68808960 in words is "sixty-eight million, eight hundred eight thousand, nine hundred sixty".