96900 has 72 divisors (see below), whose sum is σ = 312480. Its totient is φ = 23040.

The previous prime is 96893. The next prime is 96907. The reversal of 96900 is 969.

It is an interprime number because it is at equal distance from previous prime (96893) and next prime (96907).

It is a super-2 number, since 2×96900² = 18779220000, which contains 22 as substring.

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

96900 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 23 ways as a sum of consecutive naturals, for example, 5091 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2⁹⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

96900 is an abundant number, since it is smaller than the sum of its proper divisors (215580).

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

96900 is a wasteful number, since it uses less digits than its factorization.

96900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 96900 is about 311.2876483255. The cubic root of 96900 is about 45.9312141429.

Multiplying 96900 by its reverse (969), we get a square (93896100 = 9690²).

96900 divided by its reverse (969) gives a square (100 = 10²).

The spelling of 96900 in words is "ninety-six thousand, nine hundred".