870124320 has 288 divisors, whose sum is σ = 3261755952. Its totient is φ = 209903616.

The previous prime is 870124319. The next prime is 870124331. The reversal of 870124320 is 23421078.

It can be written as a sum of positive squares in 8 ways, for example, as 467078544 + 403045776 = 21612^2 + 20076^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991722 + ... + 992598.

Almost surely, 2^870124320 is an apocalyptic number.

870124320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630877976).

870124320 is an abundant number, since it is smaller than the sum of its proper divisors (2391631632).

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

870124320 is a wasteful number, since it uses less digits than its factorization.

870124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 870124320 is about 29497.8697535941. The cubic root of 870124320 is about 954.6857403712.

Adding to 870124320 its reverse (23421078), we get a palindrome (893545398).

The spelling of 870124320 in words is "eight hundred seventy million, one hundred twenty-four thousand, three hundred twenty".