1821864960 has 440 divisors, whose sum is σ = 6848050176. Its totient is φ = 462274560.

The previous prime is 1821864949. The next prime is 1821864997. The reversal of 1821864960 is 694681281.

1821864960 is a `hidden beast` number, since 1 + 82 + 1 + 86 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9538465 + ... + 9538655.

Almost surely, 2^1821864960 is an apocalyptic number.

1821864960 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 1821864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424025088).

1821864960 is an abundant number, since it is smaller than the sum of its proper divisors (5026185216).

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

1821864960 is a wasteful number, since it uses less digits than its factorization.

1821864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1821864960 is about 42683.3100871992. The cubic root of 1821864960 is about 1221.3460374254.

The spelling of 1821864960 in words is "one billion, eight hundred twenty-one million, eight hundred sixty-four thousand, nine hundred sixty".