1682640400 has 135 divisors (see below), whose sum is σ = 4718655111. Its totient is φ = 574936320.

The previous prime is 1682640347. The next prime is 1682640403. The reversal of 1682640400 is 40462861.

The square root of 1682640400 is 41020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 266472976 + 1416167424 = 16324^2 + 37632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1682640403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5742654 + ... + 5742946.

Almost surely, 2^1682640400 is an apocalyptic number.

1682640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1682640400 is the 41020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682640400

1682640400 is an abundant number, since it is smaller than the sum of its proper divisors (3036014711).

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

1682640400 is an equidigital number, since it uses as much as digits as its factorization.

1682640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 1682640400 is about 1189.4068554975.

Multiplying 1682640400 by its product of nonzero digits (9216), we get a square (15507213926400 = 3937920²).

The spelling of 1682640400 in words is "one billion, six hundred eighty-two million, six hundred forty thousand, four hundred".