867397248 has 192 divisors, whose sum is σ = 2628662400. Its totient is φ = 284663808.

The previous prime is 867397241. The next prime is 867397301. The reversal of 867397248 is 842793768.

867397248 is a `hidden beast` number, since 8 + 6 + 7 + 397 + 248 = 666.

867397248 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 (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 867397194 and 867397203.

It is not an unprimeable number, because it can be changed into a prime (867397241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2457040 + ... + 2457392.

It is an arithmetic number, because the mean of its divisors is an integer number (13690950).

Almost surely, 2^867397248 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 867397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314331200).

867397248 is an abundant number, since it is smaller than the sum of its proper divisors (1761265152).

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

867397248 is an equidigital number, since it uses as much as digits as its factorization.

867397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 437 counting only the distinct ones).

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

The square root of 867397248 is about 29451.6085808568. The cubic root of 867397248 is about 953.6873307855.

The spelling of 867397248 in words is "eight hundred sixty-seven million, three hundred ninety-seven thousand, two hundred forty-eight".