1605240 has 192 divisors, whose sum is σ = 6552000. Its totient is φ = 338688.

The previous prime is 1605217. The next prime is 1605257. The reversal of 1605240 is 425061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123474 + ... + 123486.

It is an arithmetic number, because the mean of its divisors is an integer number (34125).

2^1605240 is an apocalyptic number.

1605240 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 1605240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

1605240 is an abundant number, since it is smaller than the sum of its proper divisors (4946760).

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

1605240 is a wasteful number, since it uses less digits than its factorization.

1605240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1605240 is about 1266.9806628359. The cubic root of 1605240 is about 117.0882525032.

The spelling of 1605240 in words is "one million, six hundred five thousand, two hundred forty".