534006000 has 640 divisors, whose sum is σ = 2228428800. Its totient is φ = 120960000.

The previous prime is 534005987. The next prime is 534006007. The reversal of 534006000 is 600435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534006007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17225985 + ... + 17226015.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^534006000 is an apocalyptic number.

534006000 is a gapful number since it is divisible by the number (50) 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 534006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114214400).

534006000 is an abundant number, since it is smaller than the sum of its proper divisors (1694422800).

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

534006000 is a wasteful number, since it uses less digits than its factorization.

534006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 534006000 is about 23108.5698389147. The cubic root of 534006000 is about 811.3010640513.

Adding to 534006000 its reverse (600435), we get a palindrome (534606435).

The spelling of 534006000 in words is "five hundred thirty-four million, six thousand".