67842000 has 120 divisors (see below), whose sum is σ = 237012360. Its totient is φ = 18086400.

The previous prime is 67841999. The next prime is 67842013. The reversal of 67842000 is 24876.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 67765824 = 276^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 16116 + ... + 19884.

It is an arithmetic number, because the mean of its divisors is an integer number (1975103).

Almost surely, 2^67842000 is an apocalyptic number.

67842000 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 67842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118506180).

67842000 is an abundant number, since it is smaller than the sum of its proper divisors (169170360).

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

67842000 is a wasteful number, since it uses less digits than its factorization.

67842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 67842000 is about 8236.6255226276. The cubic root of 67842000 is about 407.8491368415.

Adding to 67842000 its reverse (24876), we get a palindrome (67866876).

The spelling of 67842000 in words is "sixty-seven million, eight hundred forty-two thousand".