1671420240 has 240 divisors, whose sum is σ = 6589185408. Its totient is φ = 371672064.

The previous prime is 1671420239. The next prime is 1671420241. The reversal of 1671420240 is 420241761.

It is an interprime number because it is at equal distance from previous prime (1671420239) and next prime (1671420241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671420241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181999 + ... + 190961.

Almost surely, 2^1671420240 is an apocalyptic number.

1671420240 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 1671420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294592704).

1671420240 is an abundant number, since it is smaller than the sum of its proper divisors (4917765168).

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

1671420240 is a wasteful number, since it uses less digits than its factorization.

1671420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1671420240 is about 40883.0067387417. The cubic root of 1671420240 is about 1186.7572284264.

The spelling of 1671420240 in words is "one billion, six hundred seventy-one million, four hundred twenty thousand, two hundred forty".