1681367040 has 168 divisors, whose sum is σ = 5829661188. Its totient is φ = 448266240.

The previous prime is 1681367003. The next prime is 1681367047. The reversal of 1681367040 is 407631861.

It can be written as a sum of positive squares in 2 ways, for example, as 1641222144 + 40144896 = 40512^2 + 6336^2 .

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 = 1681366986 and 1681367004.

It is not an unprimeable number, because it can be changed into a prime (1681367047) 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, 366360 + ... + 370920.

Almost surely, 2^1681367040 is an apocalyptic number.

1681367040 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 1681367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914830594).

1681367040 is an abundant number, since it is smaller than the sum of its proper divisors (4148294148).

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

1681367040 is an equidigital number, since it uses as much as digits as its factorization.

1681367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1681367040 is about 41004.4758532529. The cubic root of 1681367040 is about 1189.1067467469.

The spelling of 1681367040 in words is "one billion, six hundred eighty-one million, three hundred sixty-seven thousand, forty".