1821346560 has 360 divisors, whose sum is σ = 7114027536. Its totient is φ = 441262080.

The previous prime is 1821346547. The next prime is 1821346577. The reversal of 1821346560 is 656431281.

It is a happy number.

1821346560 is a `hidden beast` number, since 1 + 82 + 13 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139682 + ... + 1141278.

Almost surely, 2^1821346560 is an apocalyptic number.

1821346560 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 1821346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557013768).

1821346560 is an abundant number, since it is smaller than the sum of its proper divisors (5292680976).

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

1821346560 is a wasteful number, since it uses less digits than its factorization.

1821346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1821346560 is about 42677.2370239686. The cubic root of 1821346560 is about 1221.2301843734.

The spelling of 1821346560 in words is "one billion, eight hundred twenty-one million, three hundred forty-six thousand, five hundred sixty".