1682795520 has 704 divisors, whose sum is σ = 7168757760. Its totient is φ = 366280704.

The previous prime is 1682795503. The next prime is 1682795531. The reversal of 1682795520 is 255972861.

1682795520 is a `hidden beast` number, since 16 + 8 + 27 + 95 + 520 = 666.

It is a super-3 number, since 3×1682795520³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35804137 + ... + 35804183.

Almost surely, 2^1682795520 is an apocalyptic number.

1682795520 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 1682795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584378880).

1682795520 is an abundant number, since it is smaller than the sum of its proper divisors (5485962240).

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

1682795520 is a wasteful number, since it uses less digits than its factorization.

1682795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1682795520 is about 41021.8907414078. The cubic root of 1682795520 is about 1189.4434042301.

The spelling of 1682795520 in words is "one billion, six hundred eighty-two million, seven hundred ninety-five thousand, five hundred twenty".