1689266880 has 896 divisors, whose sum is σ = 7584399360. Its totient is φ = 345047040.

The previous prime is 1689266851. The next prime is 1689266893. The reversal of 1689266880 is 886629861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31872934 + ... + 31872986.

Almost surely, 2^1689266880 is an apocalyptic number.

1689266880 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 1689266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792199680).

1689266880 is an abundant number, since it is smaller than the sum of its proper divisors (5895132480).

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

1689266880 is a wasteful number, since it uses less digits than its factorization.

1689266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1689266880 is about 41100.6919649779. The cubic root of 1689266880 is about 1190.9661621385.

The spelling of 1689266880 in words is "one billion, six hundred eighty-nine million, two hundred sixty-six thousand, eight hundred eighty".