1834164000 has 672 divisors, whose sum is σ = 7347530736. Its totient is φ = 447897600.

The previous prime is 1834163977. The next prime is 1834164001. The reversal of 1834164000 is 4614381.

1834164000 is a `hidden beast` number, since 18 + 3 + 4 + 1 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 509495184 + 1324668816 = 22572^2 + 36396^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834164001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 49571982 + ... + 49572018.

Almost surely, 2^1834164000 is an apocalyptic number.

1834164000 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 1834164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673765368).

1834164000 is an abundant number, since it is smaller than the sum of its proper divisors (5513366736).

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

1834164000 is an equidigital number, since it uses as much as digits as its factorization.

1834164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1834164000 is about 42827.1409272204. The cubic root of 1834164000 is about 1224.0882289342.

Adding to 1834164000 its reverse (4614381), we get a palindrome (1838778381).

The spelling of 1834164000 in words is "one billion, eight hundred thirty-four million, one hundred sixty-four thousand".