96120 has 64 divisors (see below), whose sum is σ = 324000. Its totient is φ = 25344.

The previous prime is 96097. The next prime is 96137. The reversal of 96120 is 2169.

96120 = T₁₅₁ + T₁₅₂ + ... + T₁₅₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 96093 and 96102.

It is a congruent number.

It is an unprimeable number.

96120 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036 + ... + 1124.

2⁹⁶¹²⁰ is an apocalyptic number.

96120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000).

96120 is an abundant number, since it is smaller than the sum of its proper divisors (227880).

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

96120 is a wasteful number, since it uses less digits than its factorization.

96120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 96120 is about 310.0322563863. The cubic root of 96120 is about 45.8076403290.

Adding to 96120 its reverse (2169), we get a palindrome (98289).

It can be divided in two parts, 96 and 120, that added together give a cube (216 = 6³).

The spelling of 96120 in words is "ninety-six thousand, one hundred twenty".