870991872 has 192 divisors, whose sum is σ = 2547417600. Its totient is φ = 263454720.

The previous prime is 870991871. The next prime is 870991937. The reversal of 870991872 is 278199078.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (870991871) 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 15 ways as a sum of consecutive naturals, for example, 3237754 + ... + 3238022.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^870991872 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 870991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

870991872 is an abundant number, since it is smaller than the sum of its proper divisors (1676425728).

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

870991872 is a wasteful number, since it uses less digits than its factorization.

870991872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The square root of 870991872 is about 29512.5714230394. The cubic root of 870991872 is about 955.0029227911.

The spelling of 870991872 in words is "eight hundred seventy million, nine hundred ninety-one thousand, eight hundred seventy-two".