872958016 has 112 divisors (see below), whose sum is σ = 2059960320. Its totient is φ = 359170560.

The previous prime is 872958011. The next prime is 872958043. The reversal of 872958016 is 610859278.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (872958011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3319101 + ... + 3319363.

Almost surely, 2^872958016 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 872958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029980160).

872958016 is an abundant number, since it is smaller than the sum of its proper divisors (1187002304).

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

872958016 is a wasteful number, since it uses less digits than its factorization.

872958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 872958016 is about 29545.8629252896. The cubic root of 872958016 is about 955.7209785439.

The spelling of 872958016 in words is "eight hundred seventy-two million, nine hundred fifty-eight thousand, sixteen".