1882057968 has 120 divisors (see below), whose sum is σ = 6102296928. Its totient is φ = 530343936.

The previous prime is 1882057967. The next prime is 1882057993. The reversal of 1882057968 is 8697502881.

1882057968 is a `hidden beast` number, since 1 + 8 + 8 + 2 + 0 + 579 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882057963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60796 + ... + 86372.

Almost surely, 2^1882057968 is an apocalyptic number.

1882057968 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 1882057968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051148464).

1882057968 is an abundant number, since it is smaller than the sum of its proper divisors (4220238960).

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

1882057968 is a wasteful number, since it uses less digits than its factorization.

1882057968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25671 (or 25662 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 1882057968 is about 43382.6920326528. The cubic root of 1882057968 is about 1234.6513394520.

The spelling of 1882057968 in words is "one billion, eight hundred eighty-two million, fifty-seven thousand, nine hundred sixty-eight".