870585600 has 108 divisors (see below), whose sum is σ = 2873177216. Its totient is φ = 232151040.

The previous prime is 870585571. The next prime is 870585619. The reversal of 870585600 is 6585078.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3472 + ... + 41871.

Almost surely, 2^870585600 is an apocalyptic number.

870585600 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 870585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436588608).

870585600 is an abundant number, since it is smaller than the sum of its proper divisors (2002591616).

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

870585600 is a wasteful number, since it uses less digits than its factorization.

870585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45372 (or 45353 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 870585600 is about 29505.6875873110. The cubic root of 870585600 is about 954.8544134492.

The spelling of 870585600 in words is "eight hundred seventy million, five hundred eighty-five thousand, six hundred".