1338948 has 36 divisors (see below), whose sum is σ = 3646188. Its totient is φ = 411840.

The previous prime is 1338941. The next prime is 1338979. The reversal of 1338948 is 8498331.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 887364 = 672^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1338941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (101283).

2^1338948 is an apocalyptic number.

1338948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1338948 is an abundant number, since it is smaller than the sum of its proper divisors (2307240).

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

1338948 is a wasteful number, since it uses less digits than its factorization.

1338948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2879 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1338948 is about 1157.1292062687. The cubic root of 1338948 is about 110.2185187855.

The spelling of 1338948 in words is "one million, three hundred thirty-eight thousand, nine hundred forty-eight".