1671682320 has 960 divisors, whose sum is σ = 7899494400. Its totient is φ = 314772480.

The previous prime is 1671682307. The next prime is 1671682321. The reversal of 1671682320 is 232861761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671682321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72681829 + ... + 72681851.

It is an arithmetic number, because the mean of its divisors is an integer number (8228640).

Almost surely, 2^1671682320 is an apocalyptic number.

1671682320 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 1671682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949747200).

1671682320 is an abundant number, since it is smaller than the sum of its proper divisors (6227812080).

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

1671682320 is a wasteful number, since it uses less digits than its factorization.

1671682320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1671682320 is about 40886.2118568106. The cubic root of 1671682320 is about 1186.8192533383.

The spelling of 1671682320 in words is "one billion, six hundred seventy-one million, six hundred eighty-two thousand, three hundred twenty".