96460 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 29952.

The previous prime is 96457. The next prime is 96461. The reversal of 96460 is 6469.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (96461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794 + ... + 1846.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁹⁶⁴⁶⁰ 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 96460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

96460 is an abundant number, since it is smaller than the sum of its proper divisors (157556).

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

96460 is a wasteful number, since it uses less digits than its factorization.

96460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 96460 is about 310.5801023891. The cubic root of 96460 is about 45.8615877211.

It can be divided in two parts, 964 and 60, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 96460 in words is "ninety-six thousand, four hundred sixty".