1728540 has 120 divisors (see below), whose sum is σ = 5976432. Its totient is φ = 414720.

The previous prime is 1728539. The next prime is 1728541. The reversal of 1728540 is 458271.

It is an interprime number because it is at equal distance from previous prime (1728539) and next prime (1728541).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17772 + ... + 17868.

2^1728540 is an apocalyptic number.

1728540 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 1728540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988216).

1728540 is an abundant number, since it is smaller than the sum of its proper divisors (4247892).

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

1728540 is a wasteful number, since it uses less digits than its factorization.

1728540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1728540 is about 1314.7395179274. The cubic root of 1728540 is about 120.0124986981.

The spelling of 1728540 in words is "one million, seven hundred twenty-eight thousand, five hundred forty".