1827876960 has 864 divisors, whose sum is σ = 8201269440. Its totient is φ = 362299392.

The previous prime is 1827876959. The next prime is 1827876961. The reversal of 1827876960 is 696787281.

It is an interprime number because it is at equal distance from previous prime (1827876959) and next prime (1827876961).

It is a super-2 number, since 2×1827876960² = 6682268361797683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1827876897 and 1827876906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827876961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49402062 + ... + 49402098.

It is an arithmetic number, because the mean of its divisors is an integer number (9492210).

Almost surely, 2^1827876960 is an apocalyptic number.

1827876960 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 1827876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100634720).

1827876960 is an abundant number, since it is smaller than the sum of its proper divisors (6373392480).

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

1827876960 is a wasteful number, since it uses less digits than its factorization.

1827876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1827876960 is about 42753.6777365410. The cubic root of 1827876960 is about 1222.6880085218.

The spelling of 1827876960 in words is "one billion, eight hundred twenty-seven million, eight hundred seventy-six thousand, nine hundred sixty".