96400 has 30 divisors (see below), whose sum is σ = 232562. Its totient is φ = 38400.

The previous prime is 96377. The next prime is 96401. The reversal of 96400 is 469.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 82944 = 116^2 + 288^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (96401) by changing a digit.

96400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280 + ... + 520.

2⁹⁶⁴⁰⁰ 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 96400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281).

96400 is an abundant number, since it is smaller than the sum of its proper divisors (136162).

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

96400 is a wasteful number, since it uses less digits than its factorization.

96400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 96400 is about 310.4834939252. The cubic root of 96400 is about 45.8520768150.

Adding to 96400 its reverse (469), we get a palindrome (96869).

It can be divided in two parts, 96 and 400, that added together give a triangular number (496 = T₃₁).

The spelling of 96400 in words is "ninety-six thousand, four hundred".