924672 has 88 divisors (see below), whose sum is σ = 2882176. Its totient is φ = 258048.

The previous prime is 924661. The next prime is 924683. The reversal of 924672 is 276429.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (924661) and next prime (924683).

It is a d-powerful number, because it can be written as 9⁵ + 2⁹ + 6⁵ + 4⁵ + 7⁷ + 2¹⁵ .

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

924672 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 7 ways as a sum of consecutive naturals, for example, 21483 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (32752).

2⁹²⁴⁶⁷² 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 924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441088).

924672 is an abundant number, since it is smaller than the sum of its proper divisors (1957504).

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

924672 is a wasteful number, since it uses less digits than its factorization.

924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 924672 is about 961.5986688843. The cubic root of 924672 is about 97.4232400444.

It can be divided in two parts, 924 and 672, that added together give a triangular number (1596 = T₅₆).

The spelling of 924672 in words is "nine hundred twenty-four thousand, six hundred seventy-two".