1834564680 has 256 divisors, whose sum is σ = 6748358400. Its totient is φ = 440432640.

The previous prime is 1834564661. The next prime is 1834564723. The reversal of 1834564680 is 864654381.

1834564680 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 564 + 6 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 574047 + ... + 577233.

It is an arithmetic number, because the mean of its divisors is an integer number (26360775).

Almost surely, 2^1834564680 is an apocalyptic number.

1834564680 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 1834564680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374179200).

1834564680 is an abundant number, since it is smaller than the sum of its proper divisors (4913793720).

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

1834564680 is a wasteful number, since it uses less digits than its factorization.

1834564680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1834564680 is about 42831.8185464965. The cubic root of 1834564680 is about 1224.1773579981.

The spelling of 1834564680 in words is "one billion, eight hundred thirty-four million, five hundred sixty-four thousand, six hundred eighty".