923409216 has 168 divisors, whose sum is σ = 2760088968. Its totient is φ = 294912000.

The previous prime is 923409203. The next prime is 923409233. The reversal of 923409216 is 612904329.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 921729600 = 1296^2 + 30360^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440256 + ... + 1440896.

It is an arithmetic number, because the mean of its divisors is an integer number (16429101).

Almost surely, 2^923409216 is an apocalyptic number.

923409216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380044484).

923409216 is an abundant number, since it is smaller than the sum of its proper divisors (1836679752).

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

923409216 is a wasteful number, since it uses less digits than its factorization.

923409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 923409216 is about 30387.6490699758. The cubic root of 923409216 is about 973.7887095843.

The spelling of 923409216 in words is "nine hundred twenty-three million, four hundred nine thousand, two hundred sixteen".