1679920 has 80 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 577280.

The previous prime is 1679917. The next prime is 1679939. The reversal of 1679920 is 299761.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20199 + ... + 20281.

2^1679920 is an apocalyptic number.

1679920 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 1679920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1679920 is an abundant number, since it is smaller than the sum of its proper divisors (2819792).

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

1679920 is a wasteful number, since it uses less digits than its factorization.

1679920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 1679920 is about 1296.1172786442. The cubic root of 1679920 is about 118.8765520660.

The spelling of 1679920 in words is "one million, six hundred seventy-nine thousand, nine hundred twenty".