1020240 has 120 divisors (see below), whose sum is σ = 3723720. Its totient is φ = 248832.

The previous prime is 1020233. The next prime is 1020247. The reversal of 1020240 is 420201.

It is an interprime number because it is at equal distance from previous prime (1020233) and next prime (1020247).

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 968256 = 228^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9306 + ... + 9414.

It is an arithmetic number, because the mean of its divisors is an integer number (31031).

2^1020240 is an apocalyptic number.

1020240 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 1020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861860).

1020240 is an abundant number, since it is smaller than the sum of its proper divisors (2703480).

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

1020240 is a wasteful number, since it uses less digits than its factorization.

1020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1020240 is about 1010.0693045529. The cubic root of 1020240 is about 100.6701654169.

Adding to 1020240 its reverse (420201), we get a palindrome (1440441).

The spelling of 1020240 in words is "one million, twenty thousand, two hundred forty".