870958144 has 189 divisors, whose sum is σ = 2206816389. Its totient is φ = 339978240.

The previous prime is 870958141. The next prime is 870958159. The reversal of 870958144 is 441859078.

The square root of 870958144 is 29512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 678081600 + 192876544 = 26040^2 + 13888^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 870958094 and 870958103.

It is not an unprimeable number, because it can be changed into a prime (870958141) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 28095409 + ... + 28095439.

Almost surely, 2^870958144 is an apocalyptic number.

870958144 is the 29512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870958144

870958144 is an abundant number, since it is smaller than the sum of its proper divisors (1335858245).

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

870958144 is a wasteful number, since it uses less digits than its factorization.

870958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The cubic root of 870958144 is about 954.9905955599.

The spelling of 870958144 in words is "eight hundred seventy million, nine hundred fifty-eight thousand, one hundred forty-four".