1840531968 has 180 divisors, whose sum is σ = 5840468634. Its totient is φ = 557568000.

The previous prime is 1840531961. The next prime is 1840531981. The reversal of 1840531968 is 8691350481.

1840531968 is a `hidden beast` number, since 18 + 40 + 531 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1739890944 + 100641024 = 41712^2 + 10032^2 .

It is not an unprimeable number, because it can be changed into a prime (1840531961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 555918 + ... + 559218.

Almost surely, 2^1840531968 is an apocalyptic number.

1840531968 is a gapful number since it is divisible by the number (18) 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 1840531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920234317).

1840531968 is an abundant number, since it is smaller than the sum of its proper divisors (3999936666).

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

1840531968 is a wasteful number, since it uses less digits than its factorization.

1840531968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1840531968 is about 42901.4215149102. The cubic root of 1840531968 is about 1225.5032152755.

The spelling of 1840531968 in words is "one billion, eight hundred forty million, five hundred thirty-one thousand, nine hundred sixty-eight".