96810 has 32 divisors (see below), whose sum is σ = 266112. Its totient is φ = 22080.

The previous prime is 96799. The next prime is 96821. The reversal of 96810 is 1869.

It is an interprime number because it is at equal distance from previous prime (96799) and next prime (96821).

It is a super-2 number, since 2×96810² = 18744352200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁹⁶⁸¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

96810 is an abundant number, since it is smaller than the sum of its proper divisors (169302).

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

96810 is a wasteful number, since it uses less digits than its factorization.

96810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 96810 is about 311.1430539157. The cubic root of 96810 is about 45.9169895480.

The spelling of 96810 in words is "ninety-six thousand, eight hundred ten".