924960 has 96 divisors (see below), whose sum is σ = 3048192. Its totient is φ = 235520.

The previous prime is 924929. The next prime is 924961. The reversal of 924960 is 69429.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (924961) by changing a digit.

924960 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 15 ways as a sum of consecutive naturals, for example, 19657 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁹²⁴⁹⁶⁰ 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 924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

924960 is an abundant number, since it is smaller than the sum of its proper divisors (2123232).

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

924960 is a wasteful number, since it uses less digits than its factorization.

924960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 924960 is about 961.7484078490. The cubic root of 924960 is about 97.4333535335.

The spelling of 924960 in words is "nine hundred twenty-four thousand, nine hundred sixty".