871650720 has 384 divisors, whose sum is σ = 3213665280. Its totient is φ = 223202304.

The previous prime is 871650713. The next prime is 871650749. The reversal of 871650720 is 27056178.

871650720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16446214 + ... + 16446266.

It is an arithmetic number, because the mean of its divisors is an integer number (8368920).

Almost surely, 2^871650720 is an apocalyptic number.

871650720 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 871650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606832640).

871650720 is an abundant number, since it is smaller than the sum of its proper divisors (2342014560).

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

871650720 is an equidigital number, since it uses as much as digits as its factorization.

871650720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 871650720 is about 29523.7314714790. The cubic root of 871650720 is about 955.2436610431.

The spelling of 871650720 in words is "eight hundred seventy-one million, six hundred fifty thousand, seven hundred twenty".