1682378100 has 270 divisors, whose sum is σ = 5910188130. Its totient is φ = 413786880.

The previous prime is 1682378083. The next prime is 1682378101. The reversal of 1682378100 is 18732861.

It can be written as a sum of positive squares in 9 ways, for example, as 520113636 + 1162264464 = 22806^2 + 34092^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×1682378100² = 5660792142719220000, which contains 22 as substring.

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 (1682378101) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1368286 + ... + 1369514.

Almost surely, 2^1682378100 is an apocalyptic number.

1682378100 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 1682378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955094065).

1682378100 is an abundant number, since it is smaller than the sum of its proper divisors (4227810030).

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

1682378100 is a wasteful number, since it uses less digits than its factorization.

1682378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1682378100 is about 41016.8026545220. The cubic root of 1682378100 is about 1189.3450483459.

The spelling of 1682378100 in words is "one billion, six hundred eighty-two million, three hundred seventy-eight thousand, one hundred".