867606768 has 160 divisors (see below), whose sum is σ = 2872435200. Its totient is φ = 245597184.

The previous prime is 867606749. The next prime is 867606769.

867606768 is nontrivially palindromic in base 10.

867606768 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867606769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340443 + ... + 342981.

It is an arithmetic number, because the mean of its divisors is an integer number (17952720).

Almost surely, 2^867606768 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 867606768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436217600).

867606768 is an abundant number, since it is smaller than the sum of its proper divisors (2004828432).

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

867606768 is a wasteful number, since it uses less digits than its factorization.

867606768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 867606768 is about 29455.1653874155. The cubic root of 867606768 is about 953.7641123999.

It can be divided in two parts, 86760 and 6768, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 867606768 in words is "eight hundred sixty-seven million, six hundred six thousand, seven hundred sixty-eight".