1806253680 has 240 divisors, whose sum is σ = 7106223744. Its totient is φ = 375298560.

The previous prime is 1806253667. The next prime is 1806253697. The reversal of 1806253680 is 863526081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122379 + ... + 136341.

Almost surely, 2^1806253680 is an apocalyptic number.

1806253680 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 1806253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553111872).

1806253680 is an abundant number, since it is smaller than the sum of its proper divisors (5299970064).

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

1806253680 is a wasteful number, since it uses less digits than its factorization.

1806253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14004 (or 13991 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1806253680 is about 42500.0432940956. The cubic root of 1806253680 is about 1217.8475169133.

The spelling of 1806253680 in words is "one billion, eight hundred six million, two hundred fifty-three thousand, six hundred eighty".