1009824 has 48 divisors (see below), whose sum is σ = 2707488. Its totient is φ = 329472.

The previous prime is 1009819. The next prime is 1009837. The reversal of 1009824 is 4289001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1009794 and 1009803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6354 + ... + 6510.

It is an arithmetic number, because the mean of its divisors is an integer number (56406).

2^1009824 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 1009824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353744).

1009824 is an abundant number, since it is smaller than the sum of its proper divisors (1697664).

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

1009824 is a wasteful number, since it uses less digits than its factorization.

1009824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1009824 is about 1004.8999950244. The cubic root of 1009824 is about 100.3264001370.

The spelling of 1009824 in words is "one million, nine thousand, eight hundred twenty-four".