913824 has 72 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 286848.

The previous prime is 913811. The next prime is 913853. The reversal of 913824 is 428319.

913824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 913824.

It is an unprimeable number.

913824 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, 5389 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁹¹³⁸²⁴ 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 913824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

913824 is an abundant number, since it is smaller than the sum of its proper divisors (1838016).

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

913824 is a wasteful number, since it uses less digits than its factorization.

913824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 913824 is about 955.9414207994. The cubic root of 913824 is about 97.0407594319.

The spelling of 913824 in words is "nine hundred thirteen thousand, eight hundred twenty-four".