1338079680 has 168 divisors, whose sum is σ = 5260006752. Its totient is φ = 305842176.

The previous prime is 1338079661. The next prime is 1338079697. The reversal of 1338079680 is 869708331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13027 + ... + 53346.

It is an arithmetic number, because the mean of its divisors is an integer number (31309564).

Almost surely, 2^1338079680 is an apocalyptic number.

1338079680 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 1338079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630003376).

1338079680 is an abundant number, since it is smaller than the sum of its proper divisors (3921927072).

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

1338079680 is a wasteful number, since it uses less digits than its factorization.

1338079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66403 (or 66390 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1338079680 is about 36579.7714591002. The cubic root of 1338079680 is about 1101.9468772804.

The spelling of 1338079680 in words is "one billion, three hundred thirty-eight million, seventy-nine thousand, six hundred eighty".