1338620640 has 192 divisors, whose sum is σ = 4858527744. Its totient is φ = 303464448.

The previous prime is 1338620639. The next prime is 1338620683. The reversal of 1338620640 is 460268331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425152 + ... + 428288.

It is an arithmetic number, because the mean of its divisors is an integer number (25304832).

Almost surely, 2^1338620640 is an apocalyptic number.

1338620640 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 1338620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429263872).

1338620640 is an abundant number, since it is smaller than the sum of its proper divisors (3519907104).

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

1338620640 is a wasteful number, since it uses less digits than its factorization.

1338620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1338620640 is about 36587.1649625931. The cubic root of 1338620640 is about 1102.0953559492.

Adding to 1338620640 its reverse (460268331), we get a palindrome (1798888971).

The spelling of 1338620640 in words is "one billion, three hundred thirty-eight million, six hundred twenty thousand, six hundred forty".