1821520 has 20 divisors (see below), whose sum is σ = 4235220. Its totient is φ = 728576.

The previous prime is 1821509. The next prime is 1821541. The reversal of 1821520 is 251281.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 1567504 = 504^2 + 1252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1821520² = 6635870220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11305 + ... + 11464.

It is an arithmetic number, because the mean of its divisors is an integer number (211761).

2^1821520 is an apocalyptic number.

1821520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1821520 is an abundant number, since it is smaller than the sum of its proper divisors (2413700).

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

1821520 is a wasteful number, since it uses less digits than its factorization.

1821520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22782 (or 22776 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1821520 is about 1349.6369882305. The cubic root of 1821520 is about 122.1268947533.

The spelling of 1821520 in words is "one million, eight hundred twenty-one thousand, five hundred twenty".