96906 has 16 divisors (see below), whose sum is σ = 200448. Its totient is φ = 31200.

The previous prime is 96893. The next prime is 96907. The reversal of 96906 is 60969.

96906 is nontrivially palindromic in base 5.

It is a Curzon number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (96907) by changing a digit.

96906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (12528).

2⁹⁶⁹⁰⁶ is an apocalyptic number.

96906 is an abundant number, since it is smaller than the sum of its proper divisors (103542).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100224).

96906 is a wasteful number, since it uses less digits than its factorization.

96906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 96906 is about 311.2972855648. The cubic root of 96906 is about 45.9321621360.

Subtracting from 96906 its reverse (60969), we obtain a cube (35937 = 33³).

The spelling of 96906 in words is "ninety-six thousand, nine hundred six".