1827143680 has 160 divisors (see below), whose sum is σ = 4756336200. Its totient is φ = 671088640.

The previous prime is 1827143671. The next prime is 1827143687. The reversal of 1827143680 is 863417281.

It can be written as a sum of positive squares in 4 ways, for example, as 1248067584 + 579076096 = 35328^2 + 24064^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1827143687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44564460 + ... + 44564500.

Almost surely, 2^1827143680 is an apocalyptic number.

1827143680 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 1827143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378168100).

1827143680 is an abundant number, since it is smaller than the sum of its proper divisors (2929192520).

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

1827143680 is an frugal number, since it uses more digits than its factorization.

1827143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1827143680 is about 42745.1012397912. The cubic root of 1827143680 is about 1222.5244868332.

The spelling of 1827143680 in words is "one billion, eight hundred twenty-seven million, one hundred forty-three thousand, six hundred eighty".