1293320 has 64 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 426240.

The previous prime is 1293319. The next prime is 1293323. The reversal of 1293320 is 233921.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1293292 and 1293301.

It is not an unprimeable number, because it can be changed into a prime (1293323) 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, 8606 + ... + 8754.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2^1293320 is an apocalyptic number.

1293320 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 1293320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728000).

1293320 is an abundant number, since it is smaller than the sum of its proper divisors (2162680).

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

1293320 is a wasteful number, since it uses less digits than its factorization.

1293320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1293320 is about 1137.2422784965. The cubic root of 1293320 is about 108.9520311893.

The spelling of 1293320 in words is "one million, two hundred ninety-three thousand, three hundred twenty".