1238320 has 40 divisors (see below), whose sum is σ = 3008736. Its totient is φ = 473088.

The previous prime is 1238317. The next prime is 1238327. The reversal of 1238320 is 238321.

1238320 = 181² + 182² + ... + 212².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1238327) 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, 1504 + ... + 2176.

2^1238320 is an apocalyptic number.

1238320 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 1238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504368).

1238320 is an abundant number, since it is smaller than the sum of its proper divisors (1770416).

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

1238320 is a wasteful number, since it uses less digits than its factorization.

1238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1238320 is about 1112.7982746212. The cubic root of 1238320 is about 107.3851667225.

Subtracting from 1238320 its reverse (238321), we obtain a palindrome (999999).

It can be divided in two parts, 12383 and 20, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 1238320 in words is "one million, two hundred thirty-eight thousand, three hundred twenty".