1337840640 has 132 divisors (see below), whose sum is σ = 4635742644. Its totient is φ = 356745216.

The previous prime is 1337840633. The next prime is 1337840641. The reversal of 1337840640 is 460487331.

1337840640 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 8 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 474891264 + 862949376 = 21792^2 + 29376^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1337840595 and 1337840604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337840641) 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, 31564 + ... + 60596.

Almost surely, 2^1337840640 is an apocalyptic number.

1337840640 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 1337840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317871322).

1337840640 is an abundant number, since it is smaller than the sum of its proper divisors (3297902004).

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

1337840640 is a wasteful number, since it uses less digits than its factorization.

1337840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29064 (or 29043 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1337840640 is about 36576.5039335363. The cubic root of 1337840640 is about 1101.8812546142.

The spelling of 1337840640 in words is "one billion, three hundred thirty-seven million, eight hundred forty thousand, six hundred forty".