1876268016 has 240 divisors, whose sum is σ = 6317095680. Its totient is φ = 531619200.

The previous prime is 1876268003. The next prime is 1876268021. The reversal of 1876268016 is 6108626781.

It is a happy number.

1876268016 is a `hidden beast` number, since 1 + 8 + 7 + 626 + 8 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196075 + ... + 3196661.

It is an arithmetic number, because the mean of its divisors is an integer number (26321232).

Almost surely, 2^1876268016 is an apocalyptic number.

1876268016 is a gapful number since it is divisible by the number (16) 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 1876268016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158547840).

1876268016 is an abundant number, since it is smaller than the sum of its proper divisors (4440827664).

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

1876268016 is a wasteful number, since it uses less digits than its factorization.

1876268016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1876268016 is about 43315.9095021679. The cubic root of 1876268016 is about 1233.3839475373.

The spelling of 1876268016 in words is "one billion, eight hundred seventy-six million, two hundred sixty-eight thousand, sixteen".