870153312 has 96 divisors (see below), whose sum is σ = 2615155200. Its totient is φ = 248168448.

The previous prime is 870153307. The next prime is 870153329. The reversal of 870153312 is 213351078.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 870153312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616864 + ... + 618272.

It is an arithmetic number, because the mean of its divisors is an integer number (27241200).

Almost surely, 2^870153312 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 870153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307577600).

870153312 is an abundant number, since it is smaller than the sum of its proper divisors (1745001888).

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

870153312 is a wasteful number, since it uses less digits than its factorization.

870153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 870153312 is about 29498.3611748178. The cubic root of 870153312 is about 954.6963434314.

The spelling of 870153312 in words is "eight hundred seventy million, one hundred fifty-three thousand, three hundred twelve".