1679040 has 168 divisors, whose sum is σ = 6419088. Its totient is φ = 399360.

The previous prime is 1679033. The next prime is 1679057. The reversal of 1679040 is 409761.

1679040 = 147² + 148² + ... + 201².

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1678995 and 1679013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31654 + ... + 31706.

2^1679040 is an apocalyptic number.

1679040 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 1679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209544).

1679040 is an abundant number, since it is smaller than the sum of its proper divisors (4740048).

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

1679040 is a wasteful number, since it uses less digits than its factorization.

1679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1679040 is about 1295.7777587225. Note that the first 4 decimals coincide. The cubic root of 1679040 is about 118.8557912286.

The spelling of 1679040 in words is "one million, six hundred seventy-nine thousand, forty".