1806938640 has 240 divisors, whose sum is σ = 6629575680. Its totient is φ = 438359040.

The previous prime is 1806938603. The next prime is 1806938657. The reversal of 1806938640 is 468396081.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663201 + ... + 665919.

It is an arithmetic number, because the mean of its divisors is an integer number (27623232).

Almost surely, 2^1806938640 is an apocalyptic number.

1806938640 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 1806938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314787840).

1806938640 is an abundant number, since it is smaller than the sum of its proper divisors (4822637040).

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

1806938640 is a wasteful number, since it uses less digits than its factorization.

1806938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1806938640 is about 42508.1008750097. The cubic root of 1806938640 is about 1218.0014398132.

The spelling of 1806938640 in words is "one billion, eight hundred six million, nine hundred thirty-eight thousand, six hundred forty".