1682065440 has 768 divisors, whose sum is σ = 7141478400. Its totient is φ = 369515520.

The previous prime is 1682065433. The next prime is 1682065513. The reversal of 1682065440 is 445602861.

1682065440 is a `hidden beast` number, since 1 + 6 + 8 + 206 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1682065395 and 1682065404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73133269 + ... + 73133291.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2^1682065440 is an apocalyptic number.

1682065440 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 1682065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570739200).

1682065440 is an abundant number, since it is smaller than the sum of its proper divisors (5459412960).

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

1682065440 is a wasteful number, since it uses less digits than its factorization.

1682065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1682065440 is about 41012.9911125731. The cubic root of 1682065440 is about 1189.2713662049.

The spelling of 1682065440 in words is "one billion, six hundred eighty-two million, sixty-five thousand, four hundred forty".