1882687968 has 96 divisors (see below), whose sum is σ = 6275646720. Its totient is φ = 537909120.

The previous prime is 1882687913. The next prime is 1882687969. The reversal of 1882687968 is 8697862881.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882687969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149598 + ... + 161693.

It is an arithmetic number, because the mean of its divisors is an integer number (65371320).

Almost surely, 2^1882687968 is an apocalyptic number.

1882687968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1882687968 is an abundant number, since it is smaller than the sum of its proper divisors (4392958752).

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

1882687968 is a wasteful number, since it uses less digits than its factorization.

1882687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311317 (or 311303 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The square root of 1882687968 is about 43389.9523853161. The cubic root of 1882687968 is about 1234.7890864614.

The spelling of 1882687968 in words is "one billion, eight hundred eighty-two million, six hundred eighty-seven thousand, nine hundred sixty-eight".