95424 has 56 divisors (see below), whose sum is σ = 292608. Its totient is φ = 26880.

The previous prime is 95419. The next prime is 95429. The reversal of 95424 is 42459.

It is an interprime number because it is at equal distance from previous prime (95419) and next prime (95429).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 95394 and 95403.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95424.

It is not an unprimeable number, because it can be changed into a prime (95429) 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, 1309 + ... + 1379.

2⁹⁵⁴²⁴ 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 95424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304).

95424 is an abundant number, since it is smaller than the sum of its proper divisors (197184).

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

95424 is a wasteful number, since it uses less digits than its factorization.

95424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 95424 is about 308.9077532209. The cubic root of 95424 is about 45.6968087955.

The spelling of 95424 in words is "ninety-five thousand, four hundred twenty-four".