867295968 has 96 divisors (see below), whose sum is σ = 2838447360. Its totient is φ = 225269760.

The previous prime is 867295931. The next prime is 867295973. The reversal of 867295968 is 869592768.

It is a happy number.

867295968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×867295968² = 1504404592218114048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51273 + ... + 66056.

It is an arithmetic number, because the mean of its divisors is an integer number (29567160).

Almost surely, 2^867295968 is an apocalyptic number.

867295968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

867295968 is an abundant number, since it is smaller than the sum of its proper divisors (1971151392).

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

867295968 is a wasteful number, since it uses less digits than its factorization.

867295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117360 (or 117352 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The square root of 867295968 is about 29449.8890999610. The cubic root of 867295968 is about 953.6502108413.

It can be divided in two parts, 867 and 295968, that added together give a triangular number (296835 = T₇₇₀).

The spelling of 867295968 in words is "eight hundred sixty-seven million, two hundred ninety-five thousand, nine hundred sixty-eight".