1671418980 has 432 divisors, whose sum is σ = 6715712640. Its totient is φ = 328458240.

The previous prime is 1671418951. The next prime is 1671418981. The reversal of 1671418980 is 898141761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1671418981) 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 143 ways as a sum of consecutive naturals, for example, 2896452 + ... + 2897028.

Almost surely, 2^1671418980 is an apocalyptic number.

1671418980 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 1671418980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357856320).

1671418980 is an abundant number, since it is smaller than the sum of its proper divisors (5044293660).

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

1671418980 is a wasteful number, since it uses less digits than its factorization.

1671418980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1671418980 is about 40882.9913289133. The cubic root of 1671418980 is about 1186.7569302140.

It can be divided in two parts, 167141 and 8980, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 1671418980 in words is "one billion, six hundred seventy-one million, four hundred eighteen thousand, nine hundred eighty".