1828560 has 80 divisors (see below), whose sum is σ = 5981760. Its totient is φ = 460800.

The previous prime is 1828549. The next prime is 1828583. The reversal of 1828560 is 658281.

1828560 = 89² + 90² + ... + 183².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4360 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (74772).

2^1828560 is an apocalyptic number.

1828560 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 1828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990880).

1828560 is an abundant number, since it is smaller than the sum of its proper divisors (4153200).

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

1828560 is a wasteful number, since it uses less digits than its factorization.

1828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1828560 is about 1352.2425817878. The cubic root of 1828560 is about 122.2840287337.

The spelling of 1828560 in words is "one million, eight hundred twenty-eight thousand, five hundred sixty".