1012520 has 32 divisors (see below), whose sum is σ = 2413800. Its totient is φ = 380928.

The previous prime is 1012519. The next prime is 1012523. The reversal of 1012520 is 252101.

1012520 = 236² + 237² + ... + 252².

It can be written as a sum of positive squares in 4 ways, for example, as 806404 + 206116 = 898^2 + 454^2 .

It is not an unprimeable number, because it can be changed into a prime (1012523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65 + ... + 1424.

2^1012520 is an apocalyptic number.

1012520 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 1012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206900).

1012520 is an abundant number, since it is smaller than the sum of its proper divisors (1401280).

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

1012520 is a wasteful number, since it uses less digits than its factorization.

1012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1012520 is about 1006.2405279057. The cubic root of 1012520 is about 100.4156036763.

Adding to 1012520 its reverse (252101), we get a palindrome (1264621).

It can be divided in two parts, 10125 and 20, that multiplied together give a square (202500 = 450²).

The spelling of 1012520 in words is "one million, twelve thousand, five hundred twenty".