870176160 has 288 divisors, whose sum is σ = 3420144000. Its totient is φ = 197351424.

The previous prime is 870176159. The next prime is 870176171. The reversal of 870176160 is 61671078.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1743591 + ... + 1744089.

It is an arithmetic number, because the mean of its divisors is an integer number (11875500).

Almost surely, 2^870176160 is an apocalyptic number.

870176160 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 870176160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710072000).

870176160 is an abundant number, since it is smaller than the sum of its proper divisors (2549967840).

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

870176160 is a wasteful number, since it uses less digits than its factorization.

870176160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 870176160 is about 29498.7484480274. The cubic root of 870176160 is about 954.7046993195.

The spelling of 870176160 in words is "eight hundred seventy million, one hundred seventy-six thousand, one hundred sixty".