1682903040 has 624 divisors, whose sum is σ = 6902457408. Its totient is φ = 346816512.

The previous prime is 1682903023. The next prime is 1682903051. The reversal of 1682903040 is 403092861.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 1682902992 and 1682903010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39137259 + ... + 39137301.

Almost surely, 2^1682903040 is an apocalyptic number.

1682903040 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 1682903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451228704).

1682903040 is an abundant number, since it is smaller than the sum of its proper divisors (5219554368).

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

1682903040 is a wasteful number, since it uses less digits than its factorization.

1682903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1682903040 is about 41023.2012402738. The cubic root of 1682903040 is about 1189.4687363297.

The spelling of 1682903040 in words is "one billion, six hundred eighty-two million, nine hundred three thousand, forty".