870623600 has 240 divisors, whose sum is σ = 2723397120. Its totient is φ = 259353600.

The previous prime is 870623599. The next prime is 870623609. The reversal of 870623600 is 6326078.

870623600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870623609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707786 + ... + 709014.

It is an arithmetic number, because the mean of its divisors is an integer number (11347488).

Almost surely, 2^870623600 is an apocalyptic number.

870623600 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 870623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361698560).

870623600 is an abundant number, since it is smaller than the sum of its proper divisors (1852773520).

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

870623600 is a wasteful number, since it uses less digits than its factorization.

870623600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 870623600 is about 29506.3315239289. The cubic root of 870623600 is about 954.8683059908.

Adding to 870623600 its reverse (6326078), we get a palindrome (876949678).

The spelling of 870623600 in words is "eight hundred seventy million, six hundred twenty-three thousand, six hundred".