1829122560 has 200 divisors, whose sum is σ = 6552081756. Its totient is φ = 487710720.

The previous prime is 1829122523. The next prime is 1829122613. The reversal of 1829122560 is 652219281.

1829122560 is a `hidden beast` number, since 1 + 8 + 2 + 91 + 2 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1829101824 + 20736 = 42768^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202950 + ... + 211770.

Almost surely, 2^1829122560 is an apocalyptic number.

1829122560 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 1829122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276040878).

1829122560 is an abundant number, since it is smaller than the sum of its proper divisors (4722959196).

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

1829122560 is an frugal number, since it uses more digits than its factorization.

1829122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1829122560 is about 42768.2424235554. The cubic root of 1829122560 is about 1222.9656775342.

The spelling of 1829122560 in words is "one billion, eight hundred twenty-nine million, one hundred twenty-two thousand, five hundred sixty".