1678460 has 48 divisors (see below), whose sum is σ = 4247040. Its totient is φ = 544320.

The previous prime is 1678459. The next prime is 1678463. The reversal of 1678460 is 648761.

1678460 = T₆₈₉ + T₆₉₀ + ... + T₆₉₅.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (88480).

2^1678460 is an apocalyptic number.

1678460 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 1678460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123520).

1678460 is an abundant number, since it is smaller than the sum of its proper divisors (2568580).

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

1678460 is a wasteful number, since it uses less digits than its factorization.

1678460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1678460 is about 1295.5539355812. The cubic root of 1678460 is about 118.8421039831.

The spelling of 1678460 in words is "one million, six hundred seventy-eight thousand, four hundred sixty".