923248224 has 72 divisors (see below), whose sum is σ = 2638103832. Its totient is φ = 306270720.

The previous prime is 923248211. The next prime is 923248241. The reversal of 923248224 is 422842329.

It is a Cunningham number, because it is equal to 30385²-1.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53172 + ... + 68364.

It is an arithmetic number, because the mean of its divisors is an integer number (36640331).

Almost surely, 2^923248224 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 923248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319051916).

923248224 is an abundant number, since it is smaller than the sum of its proper divisors (1714855608).

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

923248224 is a wasteful number, since it uses less digits than its factorization.

923248224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15409 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 923248224 is about 30384.9999835445. Note that the first 4 decimals coincide. The cubic root of 923248224 is about 973.7321144868.

The spelling of 923248224 in words is "nine hundred twenty-three million, two hundred forty-eight thousand, two hundred twenty-four".