1806704640 has 504 divisors, whose sum is σ = 7015528260. Its totient is φ = 429391872.

The previous prime is 1806704629. The next prime is 1806704657. The reversal of 1806704640 is 464076081.

1806704640 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 7 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 196448256 + 1610256384 = 14016^2 + 40128^2 .

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 = 1806704595 and 1806704604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62300146 + ... + 62300174.

Almost surely, 2^1806704640 is an apocalyptic number.

1806704640 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 1806704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507764130).

1806704640 is an abundant number, since it is smaller than the sum of its proper divisors (5208823620).

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

1806704640 is a wasteful number, since it uses less digits than its factorization.

1806704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1806704640 is about 42505.3483693523. The cubic root of 1806704640 is about 1217.9488601564.

The spelling of 1806704640 in words is "one billion, eight hundred six million, seven hundred four thousand, six hundred forty".