949824 has 84 divisors (see below), whose sum is σ = 2912364. Its totient is φ = 294912.

The previous prime is 949811. The next prime is 949849. The reversal of 949824 is 428949.

It is a happy number.

949824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 360000 = 768^2 + 600^2 .

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 an Ulam number.

It is a congruent number.

It is an unprimeable number.

949824 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, 9744 + ... + 9840.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2⁹⁴⁹⁸²⁴ 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 949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456182).

949824 is an abundant number, since it is smaller than the sum of its proper divisors (1962540).

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

949824 is a wasteful number, since it uses less digits than its factorization.

949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 949824 is about 974.5891442039. The cubic root of 949824 is about 98.2986861243.

The spelling of 949824 in words is "nine hundred forty-nine thousand, eight hundred twenty-four".