1806265440 has 768 divisors, whose sum is σ = 7838208000. Its totient is φ = 387459072.

The previous prime is 1806265423. The next prime is 1806265441. The reversal of 1806265440 is 445626081.

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

It is a junction number, because it is equal to n+sod(n) for n = 1806265395 and 1806265404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1806265441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34080454 + ... + 34080506.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2^1806265440 is an apocalyptic number.

1806265440 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 1806265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

1806265440 is an abundant number, since it is smaller than the sum of its proper divisors (6031942560).

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

1806265440 is a wasteful number, since it uses less digits than its factorization.

1806265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1806265440 is about 42500.1816466706. The cubic root of 1806265440 is about 1217.8501599263.

The spelling of 1806265440 in words is "one billion, eight hundred six million, two hundred sixty-five thousand, four hundred forty".