1610080 has 48 divisors (see below), whose sum is σ = 3946320. Its totient is φ = 620032.

The previous prime is 1610057. The next prime is 1610083. The reversal of 1610080 is 800161.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4467 + ... + 4813.

It is an arithmetic number, because the mean of its divisors is an integer number (82215).

2^1610080 is an apocalyptic number.

1610080 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 1610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973160).

1610080 is an abundant number, since it is smaller than the sum of its proper divisors (2336240).

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

1610080 is a wasteful number, since it uses less digits than its factorization.

1610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1610080 is about 1268.8892780696. The cubic root of 1610080 is about 117.2058130195.

The spelling of 1610080 in words is "one million, six hundred ten thousand, eighty".