534107200 has 84 divisors (see below), whose sum is σ = 1433760912. Its totient is φ = 194214400.

The previous prime is 534107149. The next prime is 534107209. The reversal of 534107200 is 2701435.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (534107209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2427 + ... + 32773.

Almost surely, 2^534107200 is an apocalyptic number.

534107200 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 534107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716880456).

534107200 is an abundant number, since it is smaller than the sum of its proper divisors (899653712).

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

534107200 is a wasteful number, since it uses less digits than its factorization.

534107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30380 (or 30365 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 534107200 is about 23110.7593990332. The cubic root of 534107200 is about 811.3523109672.

Adding to 534107200 its reverse (2701435), we get a palindrome (536808635).

The spelling of 534107200 in words is "five hundred thirty-four million, one hundred seven thousand, two hundred".