1680380040 has 64 divisors (see below), whose sum is σ = 5072126400. Its totient is φ = 445347072.

The previous prime is 1680380029. The next prime is 1680380041. The reversal of 1680380040 is 400830861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1680380041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23395 + ... + 62514.

It is an arithmetic number, because the mean of its divisors is an integer number (79251975).

Almost surely, 2^1680380040 is an apocalyptic number.

1680380040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680380040 is an abundant number, since it is smaller than the sum of its proper divisors (3391746360).

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

1680380040 is a wasteful number, since it uses less digits than its factorization.

1680380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86086 (or 86082 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1680380040 is about 40992.4388149815. The cubic root of 1680380040 is about 1188.8740237981.

The spelling of 1680380040 in words is "one billion, six hundred eighty million, three hundred eighty thousand, forty".