68884000 has 96 divisors (see below), whose sum is σ = 179380656. Its totient is φ = 25907200.

The previous prime is 68883943. The next prime is 68884001. The reversal of 68884000 is 48886.

It can be written as a sum of positive squares in 8 ways, for example, as 126736 + 68757264 = 356^2 + 8292^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (68884001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67494 + ... + 68506.

Almost surely, 2^68884000 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 68884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89690328).

68884000 is an abundant number, since it is smaller than the sum of its proper divisors (110496656).

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

68884000 is a wasteful number, since it uses less digits than its factorization.

68884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 68884000 is about 8299.6385463465. The cubic root of 68884000 is about 409.9266178404.

The spelling of 68884000 in words is "sixty-eight million, eight hundred eighty-four thousand".