534168000 has 224 divisors, whose sum is σ = 1960595520. Its totient is φ = 142387200.

The previous prime is 534167993. The next prime is 534168053. The reversal of 534168000 is 861435.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214764 + ... + 217236.

Almost surely, 2^534168000 is an apocalyptic number.

534168000 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 534168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980297760).

534168000 is an abundant number, since it is smaller than the sum of its proper divisors (1426427520).

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

534168000 is a wasteful number, since it uses less digits than its factorization.

534168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 534168000 is about 23112.0747662342. The cubic root of 534168000 is about 811.3830965154.

It can be divided in two parts, 53416 and 8000, that added together give a palindrome (61416).

The spelling of 534168000 in words is "five hundred thirty-four million, one hundred sixty-eight thousand".