1609080 has 128 divisors (see below), whose sum is σ = 5598720. Its totient is φ = 366080.

The previous prime is 1609079. The next prime is 1609087. The reversal of 1609080 is 809061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1609080.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 265 × 23 × 264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30334 + ... + 30386.

It is an arithmetic number, because the mean of its divisors is an integer number (43740).

2^1609080 is an apocalyptic number.

1609080 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 1609080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799360).

1609080 is an abundant number, since it is smaller than the sum of its proper divisors (3989640).

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

1609080 is a wasteful number, since it uses less digits than its factorization.

1609080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1609080 is about 1268.4951714532. The cubic root of 1609080 is about 117.1815429861.

The spelling of 1609080 in words is "one million, six hundred nine thousand, eighty".