1605280 has 48 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 628992.

The previous prime is 1605277. The next prime is 1605287. The reversal of 1605280 is 825061.

It is a happy number.

1605280 is a modest number, since divided by 5280 gives 160 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1605287) 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, 12577 + ... + 12703.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2^1605280 is an apocalyptic number.

1605280 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 1605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1605280 is an abundant number, since it is smaller than the sum of its proper divisors (2265440).

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

1605280 is a wasteful number, since it uses less digits than its factorization.

1605280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1605280 is about 1266.9964482981. The cubic root of 1605280 is about 117.0892250454.

The spelling of 1605280 in words is "one million, six hundred five thousand, two hundred eighty".