1248320 has 56 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 482816.

The previous prime is 1248271. The next prime is 1248323. The reversal of 1248320 is 238421.

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 = 1248292 and 1248301.

It is not an unprimeable number, because it can be changed into a prime (1248323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14999 + ... + 15081.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

2^1248320 is an apocalyptic number.

1248320 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 1248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

1248320 is an abundant number, since it is smaller than the sum of its proper divisors (1824064).

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

1248320 is an equidigital number, since it uses as much as digits as its factorization.

1248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1248320 is about 1117.2824172965. The cubic root of 1248320 is about 107.6734535282.

The spelling of 1248320 in words is "one million, two hundred forty-eight thousand, three hundred twenty".