867700512 has 288 divisors, whose sum is σ = 3082060800. Its totient is φ = 234586368.

The previous prime is 867700489. The next prime is 867700513. The reversal of 867700512 is 215007768.

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 not an unprimeable number, because it can be changed into a prime (867700513) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1033789 + ... + 1034627.

It is an arithmetic number, because the mean of its divisors is an integer number (10701600).

Almost surely, 2^867700512 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 867700512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

867700512 is an abundant number, since it is smaller than the sum of its proper divisors (2214360288).

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

867700512 is a wasteful number, since it uses less digits than its factorization.

867700512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 870 counting only the distinct ones).

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

The square root of 867700512 is about 29456.7566442743. The cubic root of 867700512 is about 953.7984622330.

The spelling of 867700512 in words is "eight hundred sixty-seven million, seven hundred thousand, five hundred twelve".