96520 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 36288.

The previous prime is 96517. The next prime is 96527. The reversal of 96520 is 2569.

It is a super-2 number, since 2×96520² = 18632220800, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 96491 and 96500.

It is not an unprimeable number, because it can be changed into a prime (96527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 697 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁹⁶⁵²⁰ 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 96520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

96520 is an abundant number, since it is smaller than the sum of its proper divisors (133880).

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

96520 is a wasteful number, since it uses less digits than its factorization.

96520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 96520 is about 310.6766808114. The cubic root of 96520 is about 45.8710946840.

It can be divided in two parts, 96 and 520, that added together give a palindrome (616).

The spelling of 96520 in words is "ninety-six thousand, five hundred twenty".