1679360 has 56 divisors (see below), whose sum is σ = 4128516. Its totient is φ = 655360.

The previous prime is 1679351. The next prime is 1679371. The reversal of 1679360 is 639761.

1679360 = T₁₁ + T₁₂ + ... + T₂₁₅.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 200704 = 1216^2 + 448^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40940 + ... + 40980.

2^1679360 is an apocalyptic number.

1679360 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 1679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064258).

1679360 is an abundant number, since it is smaller than the sum of its proper divisors (2449156).

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

1679360 is an frugal number, since it uses more digits than its factorization.

1679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 1679360 is about 1295.9012308043. The cubic root of 1679360 is about 118.8633414631.

The spelling of 1679360 in words is "one million, six hundred seventy-nine thousand, three hundred sixty".