873689616 has 120 divisors (see below), whose sum is σ = 2657091840. Its totient is φ = 266976000.

The previous prime is 873689611. The next prime is 873689633. The reversal of 873689616 is 616986378.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (873689611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79666 + ... + 89966.

It is an arithmetic number, because the mean of its divisors is an integer number (22142432).

Almost surely, 2^873689616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873689616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328545920).

873689616 is an abundant number, since it is smaller than the sum of its proper divisors (1783402224).

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

873689616 is a wasteful number, since it uses less digits than its factorization.

873689616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365 (or 10356 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 873689616 is about 29558.2410843406. The cubic root of 873689616 is about 955.9878910483.

The spelling of 873689616 in words is "eight hundred seventy-three million, six hundred eighty-nine thousand, six hundred sixteen".