1253320 has 16 divisors (see below), whose sum is σ = 2820060. Its totient is φ = 501312.

The previous prime is 1253279. The next prime is 1253323. The reversal of 1253320 is 233521.

It can be written as a sum of positive squares in 2 ways, for example, as 1136356 + 116964 = 1066^2 + 342^2 .

It is a super-2 number, since 2×1253320² = 3141622044800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1253294 and 1253303.

It is not an unprimeable number, because it can be changed into a prime (1253323) 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 3 ways as a sum of consecutive naturals, for example, 15627 + ... + 15706.

2^1253320 is an apocalyptic number.

1253320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253320 is an abundant number, since it is smaller than the sum of its proper divisors (1566740).

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

1253320 is a wasteful number, since it uses less digits than its factorization.

1253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31344 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1253320 is about 1119.5177533206. The cubic root of 1253320 is about 107.8170198343.

Adding to 1253320 its reverse (233521), we get a palindrome (1486841).

It can be divided in two parts, 1253 and 320, that multiplied together give a triangular number (400960 = T₈₉₅).

The spelling of 1253320 in words is "one million, two hundred fifty-three thousand, three hundred twenty".