1827108864 has 432 divisors, whose sum is σ = 6537258000. Its totient is φ = 491323392.

The previous prime is 1827108859. The next prime is 1827108869. The reversal of 1827108864 is 4688017281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1827108859) and next prime (1827108869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827108869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107476984 + ... + 107477000.

Almost surely, 2^1827108864 is an apocalyptic number.

1827108864 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 1827108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268629000).

1827108864 is an abundant number, since it is smaller than the sum of its proper divisors (4710149136).

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

1827108864 is an equidigital number, since it uses as much as digits as its factorization.

1827108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1827108864 is about 42744.6939865055. The cubic root of 1827108864 is about 1222.5167217656.

The spelling of 1827108864 in words is "one billion, eight hundred twenty-seven million, one hundred eight thousand, eight hundred sixty-four".