1024320 has 112 divisors (see below), whose sum is σ = 3584448. Its totient is φ = 245760.

The previous prime is 1024319. The next prime is 1024321. The reversal of 1024320 is 234201.

It is an interprime number because it is at equal distance from previous prime (1024319) and next prime (1024321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1024296 and 1024305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10512 + ... + 10608.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2^1024320 is an apocalyptic number.

1024320 is a gapful number since it is divisible by the number (10) 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 1024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792224).

1024320 is an abundant number, since it is smaller than the sum of its proper divisors (2560128).

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

1024320 is a wasteful number, since it uses less digits than its factorization.

1024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1024320 is about 1012.0869527862. The cubic root of 1024320 is about 100.8041822402.

Adding to 1024320 its reverse (234201), we get a palindrome (1258521).

The spelling of 1024320 in words is "one million, twenty-four thousand, three hundred twenty".