1671132540 has 192 divisors, whose sum is σ = 6035420160. Its totient is φ = 335247360.

The previous prime is 1671132539. The next prime is 1671132563. The reversal of 1671132540 is 452311761.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1671132498 and 1671132507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127744 + ... + 140216.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^1671132540 is an apocalyptic number.

1671132540 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 1671132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017710080).

1671132540 is an abundant number, since it is smaller than the sum of its proper divisors (4364287620).

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

1671132540 is a wasteful number, since it uses less digits than its factorization.

1671132540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1671132540 is about 40879.4880104925. The cubic root of 1671132540 is about 1186.6891327158.

It can be divided in two parts, 167113 and 2540, that added together give a triangular number (169653 = T₅₈₂).

The spelling of 1671132540 in words is "one billion, six hundred seventy-one million, one hundred thirty-two thousand, five hundred forty".