1679964 has 72 divisors (see below), whose sum is σ = 4692240. Its totient is φ = 464640.

The previous prime is 1679963. The next prime is 1679981. The reversal of 1679964 is 4699761.

1679964 = 72² + 73² + ... + 175².

It is a d-powerful number, because it can be written as 1 + 6³ + 7² + 9 + 9 + 6⁸ + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18832 + ... + 18920.

It is an arithmetic number, because the mean of its divisors is an integer number (65170).

2^1679964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346120).

1679964 is an abundant number, since it is smaller than the sum of its proper divisors (3012276).

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

1679964 is a wasteful number, since it uses less digits than its factorization.

1679964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 1679964 is about 1296.1342523057. The cubic root of 1679964 is about 118.8775899175.

The spelling of 1679964 in words is "one million, six hundred seventy-nine thousand, nine hundred sixty-four".