1682601984 has 504 divisors, whose sum is σ = 6122942280. Its totient is φ = 459841536.

The previous prime is 1682601983. The next prime is 1682602037. The reversal of 1682601984 is 4891062861.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1682601984² = 5662298873121472512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682601983) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 73156597 + ... + 73156619.

It is an arithmetic number, because the mean of its divisors is an integer number (12148695).

Almost surely, 2^1682601984 is an apocalyptic number.

1682601984 is a gapful number since it is divisible by the number (14) 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 1682601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061471140).

1682601984 is an abundant number, since it is smaller than the sum of its proper divisors (4440340296).

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

1682601984 is an frugal number, since it uses more digits than its factorization.

1682601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1682601984 is about 41019.5317379416. The cubic root of 1682601984 is about 1189.3978037315.

The spelling of 1682601984 in words is "one billion, six hundred eighty-two million, six hundred one thousand, nine hundred eighty-four".