870851520 has 1008 divisors, whose sum is σ = 4159239840. Its totient is φ = 170311680.

The previous prime is 870851497. The next prime is 870851539. The reversal of 870851520 is 25158078.

870851520 is a `hidden beast` number, since 87 + 0 + 8 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226552 + ... + 51226568.

It is an arithmetic number, because the mean of its divisors is an integer number (4126230).

Almost surely, 2^870851520 is an apocalyptic number.

870851520 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 870851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079619920).

870851520 is an abundant number, since it is smaller than the sum of its proper divisors (3288388320).

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

870851520 is a wasteful number, since it uses less digits than its factorization.

870851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 870851520 is about 29510.1934930966. The cubic root of 870851520 is about 954.9516235100.

The spelling of 870851520 in words is "eight hundred seventy million, eight hundred fifty-one thousand, five hundred twenty".