867950496 has 144 divisors (see below), whose sum is σ = 2833294464. Its totient is φ = 246892032.

The previous prime is 867950491. The next prime is 867950513. The reversal of 867950496 is 694059768.

867950496 is a `hidden beast` number, since 8 + 67 + 95 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (867950491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529390 + ... + 531026.

It is an arithmetic number, because the mean of its divisors is an integer number (19675656).

Almost surely, 2^867950496 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 867950496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416647232).

867950496 is an abundant number, since it is smaller than the sum of its proper divisors (1965343968).

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

867950496 is a wasteful number, since it uses less digits than its factorization.

867950496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 867950496 is about 29460.9995757103. Note that the first 3 decimals coincide. The cubic root of 867950496 is about 953.8900496942.

The spelling of 867950496 in words is "eight hundred sixty-seven million, nine hundred fifty thousand, four hundred ninety-six".