68002000 has 120 divisors (see below), whose sum is σ = 181379016. Its totient is φ = 24640000.

The previous prime is 68001991. The next prime is 68002019. The reversal of 68002000 is 20086.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 66977856 = 1012^2 + 8184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241860 + ... + 242140.

Almost surely, 2^68002000 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 68002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90689508).

68002000 is an abundant number, since it is smaller than the sum of its proper divisors (113377016).

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

68002000 is a wasteful number, since it uses less digits than its factorization.

68002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 68002000 is about 8246.3325181562. The cubic root of 68002000 is about 408.1695117752.

Adding to 68002000 its reverse (20086), we get a palindrome (68022086).

The spelling of 68002000 in words is "sixty-eight million, two thousand".