1671101040 has 160 divisors (see below), whose sum is σ = 5954618880. Its totient is φ = 379763712.

The previous prime is 1671100999. The next prime is 1671101057. The reversal of 1671101040 is 401011761.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1671100998 and 1671101016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 297942 + ... + 303498.

It is an arithmetic number, because the mean of its divisors is an integer number (37216368).

Almost surely, 2^1671101040 is an apocalyptic number.

1671101040 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 1671101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977309440).

1671101040 is an abundant number, since it is smaller than the sum of its proper divisors (4283517840).

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

1671101040 is a wasteful number, since it uses less digits than its factorization.

1671101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 1671101040 is about 40879.1027298790. The cubic root of 1671101040 is about 1186.6816765064.

The spelling of 1671101040 in words is "one billion, six hundred seventy-one million, one hundred one thousand, forty".