1820705040 has 800 divisors, whose sum is σ = 8166977280. Its totient is φ = 364953600.

The previous prime is 1820705023. The next prime is 1820705063. The reversal of 1820705040 is 405070281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1820704995 and 1820705013.

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 159 ways as a sum of consecutive naturals, for example, 20457316 + ... + 20457404.

Almost surely, 2^1820705040 is an apocalyptic number.

1820705040 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 1820705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083488640).

1820705040 is an abundant number, since it is smaller than the sum of its proper divisors (6346272240).

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

1820705040 is a wasteful number, since it uses less digits than its factorization.

1820705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1820705040 is about 42669.7204115518. The cubic root of 1820705040 is about 1221.0867857830.

The spelling of 1820705040 in words is "one billion, eight hundred twenty million, seven hundred five thousand, forty".