1682280120 has 64 divisors (see below), whose sum is σ = 5079042720. Its totient is φ = 445745664.

The previous prime is 1682280107. The next prime is 1682280209. The reversal of 1682280120 is 210822861.

It is a super-3 number, since 3×1682280120³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25807 + ... + 63486.

Almost surely, 2^1682280120 is an apocalyptic number.

1682280120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682280120 is an abundant number, since it is smaller than the sum of its proper divisors (3396762600).

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

1682280120 is a wasteful number, since it uses less digits than its factorization.

1682280120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89464 (or 89460 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1682280120 is about 41015.6082485680. The cubic root of 1682280120 is about 1189.3219591465.

The spelling of 1682280120 in words is "one billion, six hundred eighty-two million, two hundred eighty thousand, one hundred twenty".