1682496 has 84 divisors (see below), whose sum is σ = 5071872. Its totient is φ = 532224.

The previous prime is 1682489. The next prime is 1682509. The reversal of 1682496 is 6942861.

1682496 is a `hidden beast` number, since 168 + 2 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1682496.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13185 + ... + 13311.

2^1682496 is an apocalyptic number.

1682496 is a gapful number since it is divisible by the number (16) 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 1682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535936).

1682496 is an abundant number, since it is smaller than the sum of its proper divisors (3389376).

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

1682496 is a wasteful number, since it uses less digits than its factorization.

1682496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1682496 is about 1297.1106352197. The cubic root of 1682496 is about 118.9372830548.

The spelling of 1682496 in words is "one million, six hundred eighty-two thousand, four hundred ninety-six".