1679120 has 40 divisors (see below), whose sum is σ = 3958080. Its totient is φ = 662400.

The previous prime is 1679113. The next prime is 1679123. The reversal of 1679120 is 219761.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1679120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679123) 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, 11045 + ... + 11195.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

2^1679120 is an apocalyptic number.

1679120 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 1679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979040).

1679120 is an abundant number, since it is smaller than the sum of its proper divisors (2278960).

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

1679120 is a wasteful number, since it uses less digits than its factorization.

1679120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1679120 is about 1295.8086278459. The cubic root of 1679120 is about 118.8576788772.

The spelling of 1679120 in words is "one million, six hundred seventy-nine thousand, one hundred twenty".