873434016 has 540 divisors, whose sum is σ = 3363984162. Its totient is φ = 220340736.

The previous prime is 873433997. The next prime is 873434027. The reversal of 873434016 is 610434378.

It can be written as a sum of positive squares in only one way, i.e., 839840400 + 33593616 = 28980^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 37975381 + ... + 37975403.

Almost surely, 2^873434016 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 873434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681992081).

873434016 is an abundant number, since it is smaller than the sum of its proper divisors (2490550146).

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

873434016 is a wasteful number, since it uses less digits than its factorization.

873434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 873434016 is about 29553.9171007838. The cubic root of 873434016 is about 955.8946564363.

The spelling of 873434016 in words is "eight hundred seventy-three million, four hundred thirty-four thousand, sixteen".