1682531280 has 240 divisors, whose sum is σ = 5945668560. Its totient is φ = 425779200.

The previous prime is 1682531273. The next prime is 1682531287. The reversal of 1682531280 is 821352861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1682531273) and next prime (1682531287).

It can be written as a sum of positive squares in 8 ways, for example, as 18870336 + 1663660944 = 4344^2 + 40788^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (1682531287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273020 + ... + 1274340.

It is an arithmetic number, because the mean of its divisors is an integer number (24773619).

Almost surely, 2^1682531280 is an apocalyptic number.

1682531280 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 1682531280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972834280).

1682531280 is an abundant number, since it is smaller than the sum of its proper divisors (4263137280).

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

1682531280 is a wasteful number, since it uses less digits than its factorization.

1682531280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1682531280 is about 41018.6698955488. The cubic root of 1682531280 is about 1189.3811437487.

The spelling of 1682531280 in words is "one billion, six hundred eighty-two million, five hundred thirty-one thousand, two hundred eighty".