867434000 has 80 divisors (see below), whose sum is σ = 2110043520. Its totient is φ = 344892800.

The previous prime is 867433997. The next prime is 867434011. The reversal of 867434000 is 434768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356789 + ... + 359211.

It is an arithmetic number, because the mean of its divisors is an integer number (26375544).

Almost surely, 2^867434000 is an apocalyptic number.

867434000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055021760).

867434000 is an abundant number, since it is smaller than the sum of its proper divisors (1242609520).

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

867434000 is a wasteful number, since it uses less digits than its factorization.

867434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 867434000 is about 29452.2325130032. The cubic root of 867434000 is about 953.7007999781.

Adding to 867434000 its reverse (434768), we get a palindrome (867868768).

The spelling of 867434000 in words is "eight hundred sixty-seven million, four hundred thirty-four thousand".