1671280128 has 480 divisors, whose sum is σ = 6077111040. Its totient is φ = 447897600.

The previous prime is 1671280103. The next prime is 1671280129. The reversal of 1671280128 is 8210821761.

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 = 1671280092 and 1671280101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671280129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16547278 + ... + 16547378.

It is an arithmetic number, because the mean of its divisors is an integer number (12660648).

Almost surely, 2^1671280128 is an apocalyptic number.

1671280128 is a gapful number since it is divisible by the number (18) 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 1671280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038555520).

1671280128 is an abundant number, since it is smaller than the sum of its proper divisors (4405830912).

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

1671280128 is an equidigital number, since it uses as much as digits as its factorization.

1671280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1671280128 is about 40881.2931302326. The cubic root of 1671280128 is about 1186.7240662945.

The spelling of 1671280128 in words is "one billion, six hundred seventy-one million, two hundred eighty thousand, one hundred twenty-eight".