68438000 has 80 divisors (see below), whose sum is σ = 174289440. Its totient is φ = 25920000.

The previous prime is 68437961. The next prime is 68438009. The reversal of 68438000 is 83486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68438009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37100 + ... + 38900.

It is an arithmetic number, because the mean of its divisors is an integer number (2178618).

Almost surely, 2^68438000 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 68438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87144720).

68438000 is an abundant number, since it is smaller than the sum of its proper divisors (105851440).

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

68438000 is a wasteful number, since it uses less digits than its factorization.

68438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 68438000 is about 8272.7262737262. The cubic root of 68438000 is about 409.0399906697.

The spelling of 68438000 in words is "sixty-eight million, four hundred thirty-eight thousand".