533768000 has 56 divisors (see below), whose sum is σ = 1321896264. Its totient is φ = 213504000.

The previous prime is 533767999. The next prime is 533768041. The reversal of 533768000 is 867335.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29855296 + 503912704 = 5464^2 + 22448^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25361 + ... + 41360.

Almost surely, 2^533768000 is an apocalyptic number.

533768000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

533768000 is an abundant number, since it is smaller than the sum of its proper divisors (788128264).

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

533768000 is an equidigital number, since it uses as much as digits as its factorization.

533768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66748 (or 66728 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 533768000 is about 23103.4196603014. The cubic root of 533768000 is about 811.1805171247.

It can be divided in two parts, 5337 and 68000, that added together give a palindrome (73337).

The spelling of 533768000 in words is "five hundred thirty-three million, seven hundred sixty-eight thousand".