1338792 has 64 divisors (see below), whose sum is σ = 4126080. Its totient is φ = 352512.

The previous prime is 1338791. The next prime is 1338793. The reversal of 1338792 is 2978331.

It is an interprime number because it is at equal distance from previous prime (1338791) and next prime (1338793).

It is not an unprimeable number, because it can be changed into a prime (1338791) 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, 1878 + ... + 2490.

It is an arithmetic number, because the mean of its divisors is an integer number (64470).

2^1338792 is an apocalyptic number.

1338792 is a gapful number since it is divisible by the number (12) 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 1338792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063040).

1338792 is an abundant number, since it is smaller than the sum of its proper divisors (2787288).

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

1338792 is a wasteful number, since it uses less digits than its factorization.

1338792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 1338792 is about 1157.0617961025. The cubic root of 1338792 is about 110.2142381222.

The spelling of 1338792 in words is "one million, three hundred thirty-eight thousand, seven hundred ninety-two".