1682419900 has 108 divisors (see below), whose sum is σ = 4280960376. Its totient is φ = 572208000.

The previous prime is 1682419897. The next prime is 1682419901. The reversal of 1682419900 is 99142861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682419901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 640590 + ... + 643210.

It is an arithmetic number, because the mean of its divisors is an integer number (39638522).

Almost surely, 2^1682419900 is an apocalyptic number.

1682419900 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 1682419900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140480188).

1682419900 is an abundant number, since it is smaller than the sum of its proper divisors (2598540476).

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

1682419900 is a wasteful number, since it uses less digits than its factorization.

1682419900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1682419900 is about 41017.3121986314. The cubic root of 1682419900 is about 1189.3548983337.

The spelling of 1682419900 in words is "one billion, six hundred eighty-two million, four hundred nineteen thousand, nine hundred".