1680541440 has 72 divisors (see below), whose sum is σ = 5367241488. Its totient is φ = 448143360.

The previous prime is 1680541397. The next prime is 1680541463. The reversal of 1680541440 is 441450861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214981 + ... + 222660.

Almost surely, 2^1680541440 is an apocalyptic number.

1680541440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680541440 is an abundant number, since it is smaller than the sum of its proper divisors (3686700048).

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

1680541440 is an equidigital number, since it uses as much as digits as its factorization.

1680541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437665 (or 437651 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1680541440 is about 40994.4074234523. The cubic root of 1680541440 is about 1188.9120862443.

The spelling of 1680541440 in words is "one billion, six hundred eighty million, five hundred forty-one thousand, four hundred forty".