1812646080 has 896 divisors, whose sum is σ = 8111093760. Its totient is φ = 371589120.

The previous prime is 1812646067. The next prime is 1812646111. The reversal of 1812646080 is 806462181.

1812646080 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 646 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×1812646080² = 6571371622678732800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42154539 + ... + 42154581.

It is an arithmetic number, because the mean of its divisors is an integer number (9052560).

Almost surely, 2^1812646080 is an apocalyptic number.

1812646080 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 1812646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055546880).

1812646080 is an abundant number, since it is smaller than the sum of its proper divisors (6298447680).

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

1812646080 is a wasteful number, since it uses less digits than its factorization.

1812646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1812646080 is about 42575.1815028427. The cubic root of 1812646080 is about 1219.2824948830.

The spelling of 1812646080 in words is "one billion, eight hundred twelve million, six hundred forty-six thousand, eighty".