68538000 has 80 divisors (see below), whose sum is σ = 220985856. Its totient is φ = 18275200.

The previous prime is 68537971. The next prime is 68538007. The reversal of 68538000 is 83586.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (68538007) 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, 289 + ... + 11711.

Almost surely, 2^68538000 is an apocalyptic number.

68538000 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 68538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110492928).

68538000 is an abundant number, since it is smaller than the sum of its proper divisors (152447856).

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

68538000 is a wasteful number, since it uses less digits than its factorization.

68538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11449 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 68538000 is about 8278.7680242896. The cubic root of 68538000 is about 409.2391202593.

The spelling of 68538000 in words is "sixty-eight million, five hundred thirty-eight thousand".