96624 has 60 divisors (see below), whose sum is σ = 299832. Its totient is φ = 28800.

The previous prime is 96601. The next prime is 96643. The reversal of 96624 is 42669.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

96624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1554 + ... + 1614.

2⁹⁶⁶²⁴ 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 96624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149916).

96624 is an abundant number, since it is smaller than the sum of its proper divisors (203208).

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

96624 is a wasteful number, since it uses less digits than its factorization.

96624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 96624 is about 310.8440123277. The cubic root of 96624 is about 45.8875640908.

It can be divided in two parts, 966 and 24, that added together give a triangular number (990 = T₄₄).

The spelling of 96624 in words is "ninety-six thousand, six hundred twenty-four".