968142 has 48 divisors (see below), whose sum is σ = 2339280. Its totient is φ = 266112.

The previous prime is 968141. The next prime is 968147. The reversal of 968142 is 241869.

968142 is nontrivially palindromic in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968142.

It is not an unprimeable number, because it can be changed into a prime (968141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10834 + ... + 10922.

It is an arithmetic number, because the mean of its divisors is an integer number (48735).

2⁹⁶⁸¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169640).

968142 is an abundant number, since it is smaller than the sum of its proper divisors (1371138).

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

968142 is a wasteful number, since it uses less digits than its factorization.

968142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 968142 is about 983.9420714656. The cubic root of 968142 is about 98.9265857112.

It can be divided in two parts, 9 and 68142, that multiplied together give a triangular number (613278 = T₁₁₀₇).

The spelling of 968142 in words is "nine hundred sixty-eight thousand, one hundred forty-two".