1821464064 has 240 divisors, whose sum is σ = 6274263600. Its totient is φ = 520224768.

The previous prime is 1821464027. The next prime is 1821464069. The reversal of 1821464064 is 4604641281.

It is a happy number.

1821464064 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 4 + 640 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821464069) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 676032 + ... + 678720.

It is an arithmetic number, because the mean of its divisors is an integer number (26142765).

Almost surely, 2^1821464064 is an apocalyptic number.

1821464064 is a gapful number since it is divisible by the number (14) 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 1821464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137131800).

1821464064 is an abundant number, since it is smaller than the sum of its proper divisors (4452799536).

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

1821464064 is an equidigital number, since it uses as much as digits as its factorization.

1821464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1821464064 is about 42678.6136607083. The cubic root of 1821464064 is about 1221.2564463250.

The spelling of 1821464064 in words is "one billion, eight hundred twenty-one million, four hundred sixty-four thousand, sixty-four".