68868000 has 144 divisors (see below), whose sum is σ = 244540296. Its totient is φ = 18355200.

The previous prime is 68867959. The next prime is 68868001. The reversal of 68868000 is 86886.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 34715664 = 5844^2 + 5892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68868001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35044 + ... + 36956.

Almost surely, 2^68868000 is an apocalyptic number.

68868000 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 68868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122270148).

68868000 is an abundant number, since it is smaller than the sum of its proper divisors (175672296).

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

68868000 is a wasteful number, since it uses less digits than its factorization.

68868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68868000 is about 8298.6745929697. The cubic root of 68868000 is about 409.8948768760.

The spelling of 68868000 in words is "sixty-eight million, eight hundred sixty-eight thousand".