96642 has 48 divisors (see below), whose sum is σ = 262080. Its totient is φ = 25056.

The previous prime is 96601. The next prime is 96643. The reversal of 96642 is 24669.

It is a plaindrome in base 11.

It is a nialpdrome in base 10.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (96643) 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, 1609 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁹⁶⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

96642 is an abundant number, since it is smaller than the sum of its proper divisors (165438).

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

96642 is a wasteful number, since it uses less digits than its factorization.

96642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 96642 is about 310.8729644083. The cubic root of 96642 is about 45.8904133652.

Adding to 96642 its sum of digits (27), we get a palindrome (96669).

The spelling of 96642 in words is "ninety-six thousand, six hundred forty-two".