1682560 has 64 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 609280.

The previous prime is 1682557. The next prime is 1682561. The reversal of 1682560 is 652861.

1682560 = T₁₁₇ + T₁₁₈ + ... + T₂₂₆.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1682561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6921 + ... + 7159.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2^1682560 is an apocalyptic number.

1682560 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 1682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).

1682560 is an abundant number, since it is smaller than the sum of its proper divisors (2723840).

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

1682560 is a wasteful number, since it uses less digits than its factorization.

1682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1682560 is about 1297.1353052014. The cubic root of 1682560 is about 118.9387911098.

The spelling of 1682560 in words is "one million, six hundred eighty-two thousand, five hundred sixty".