867556872 has 512 divisors, whose sum is σ = 3290112000. Its totient is φ = 205286400.

The previous prime is 867556867. The next prime is 867556873. The reversal of 867556872 is 278655768.

867556872 is a `hidden beast` number, since 8 + 6 + 7 + 5 + 568 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5644800) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (867556873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8589622 + ... + 8589722.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^867556872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867556872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

867556872 is an abundant number, since it is smaller than the sum of its proper divisors (2422555128).

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

867556872 is a wasteful number, since it uses less digits than its factorization.

867556872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 867556872 is about 29454.3183930642. The cubic root of 867556872 is about 953.7458284153.

The spelling of 867556872 in words is "eight hundred sixty-seven million, five hundred fifty-six thousand, eight hundred seventy-two".